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Finding the Third Proportional to 628,983 and 1,357,542

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Solution

The third proportional to 628,983 and 1,357,542 is: 2,930,000.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,983 : 1,357,542 = 1,357,542 : x
  2. Step 2: Convert to fraction form
    628,983/1,357,542 = 1,357,542/x
  3. Step 3: Cross multiply
    628,983x = 1,357,542 × 1,357,542
  4. Step 4: Simplify right side
    628,983x = 1,842,920,281,764
  5. Step 5: Solve for x
    x = 1,842,920,281,764/628,983
  6. Step 6: Final answer
    x = 2,930,000.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.