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Finding the Third Proportional to 670,091 and 1,036,242

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Solution

The third proportional to 670,091 and 1,036,242 is: 1,602,465.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,091 : 1,036,242 = 1,036,242 : x
  2. Step 2: Convert to fraction form
    670,091/1,036,242 = 1,036,242/x
  3. Step 3: Cross multiply
    670,091x = 1,036,242 × 1,036,242
  4. Step 4: Simplify right side
    670,091x = 1,073,797,482,564
  5. Step 5: Solve for x
    x = 1,073,797,482,564/670,091
  6. Step 6: Final answer
    x = 1,602,465.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.