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Finding the Third Proportional to 746,498 and 1,005,699

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Solution

The third proportional to 746,498 and 1,005,699 is: 1,354,900.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,498 : 1,005,699 = 1,005,699 : x
  2. Step 2: Convert to fraction form
    746,498/1,005,699 = 1,005,699/x
  3. Step 3: Cross multiply
    746,498x = 1,005,699 × 1,005,699
  4. Step 4: Simplify right side
    746,498x = 1,011,430,478,601
  5. Step 5: Solve for x
    x = 1,011,430,478,601/746,498
  6. Step 6: Final answer
    x = 1,354,900.45

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.