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Finding the Third Proportional to 1,098,370 and 1,643,577

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Solution

The third proportional to 1,098,370 and 1,643,577 is: 2,459,412.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098,370 : 1,643,577 = 1,643,577 : x
  2. Step 2: Convert to fraction form
    1,098,370/1,643,577 = 1,643,577/x
  3. Step 3: Cross multiply
    1,098,370x = 1,643,577 × 1,643,577
  4. Step 4: Simplify right side
    1,098,370x = 2,701,345,354,929
  5. Step 5: Solve for x
    x = 2,701,345,354,929/1,098,370
  6. Step 6: Final answer
    x = 2,459,412.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.