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Finding the Third Proportional to 745,780,242 and 1,036,947,814.50

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Solution

The third proportional to 745,780,242 and 1,036,947,814.50 is: 1,441,793,050.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,780,242 : 1,036,947,814.50 = 1,036,947,814.50 : x
  2. Step 2: Convert to fraction form
    745,780,242/1,036,947,814.50 = 1,036,947,814.50/x
  3. Step 3: Cross multiply
    745,780,242x = 1,036,947,814.50 × 1,036,947,814.50
  4. Step 4: Simplify right side
    745,780,242x = 1,075,260,769,996,326,400
  5. Step 5: Solve for x
    x = 1,075,260,769,996,326,400/745,780,242
  6. Step 6: Final answer
    x = 1,441,793,050.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.