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Finding the Third Proportional to 689,476 and 1,011,494

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Solution

The third proportional to 689,476 and 1,011,494 is: 1,483,909.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,476 : 1,011,494 = 1,011,494 : x
  2. Step 2: Convert to fraction form
    689,476/1,011,494 = 1,011,494/x
  3. Step 3: Cross multiply
    689,476x = 1,011,494 × 1,011,494
  4. Step 4: Simplify right side
    689,476x = 1,023,120,112,036
  5. Step 5: Solve for x
    x = 1,023,120,112,036/689,476
  6. Step 6: Final answer
    x = 1,483,909.68

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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.