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Finding the Third Proportional to 689,472 and 1,011,488

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Solution

The third proportional to 689,472 and 1,011,488 is: 1,483,900.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,472 : 1,011,488 = 1,011,488 : x
  2. Step 2: Convert to fraction form
    689,472/1,011,488 = 1,011,488/x
  3. Step 3: Cross multiply
    689,472x = 1,011,488 × 1,011,488
  4. Step 4: Simplify right side
    689,472x = 1,023,107,974,144
  5. Step 5: Solve for x
    x = 1,023,107,974,144/689,472
  6. Step 6: Final answer
    x = 1,483,900.69

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.