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Finding the Third Proportional to 750,057 and 1,191,514.50

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Solution

The third proportional to 750,057 and 1,191,514.50 is: 1,892,798.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,057 : 1,191,514.50 = 1,191,514.50 : x
  2. Step 2: Convert to fraction form
    750,057/1,191,514.50 = 1,191,514.50/x
  3. Step 3: Cross multiply
    750,057x = 1,191,514.50 × 1,191,514.50
  4. Step 4: Simplify right side
    750,057x = 1,419,706,803,710.25
  5. Step 5: Solve for x
    x = 1,419,706,803,710.25/750,057
  6. Step 6: Final answer
    x = 1,892,798.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.