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Finding the Third Proportional to 1,000,978.59 and 1,551,229.73

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Solution

The third proportional to 1,000,978.59 and 1,551,229.73 is: 2,403,961.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,978.59 : 1,551,229.73 = 1,551,229.73 : x
  2. Step 2: Convert to fraction form
    1,000,978.59/1,551,229.73 = 1,551,229.73/x
  3. Step 3: Cross multiply
    1,000,978.59x = 1,551,229.73 × 1,551,229.73
  4. Step 4: Simplify right side
    1,000,978.59x = 2,406,313,688,809.13
  5. Step 5: Solve for x
    x = 2,406,313,688,809.13/1,000,978.59
  6. Step 6: Final answer
    x = 2,403,961.19

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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.