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Finding the Third Proportional to 687,472 and 1,010,136

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Solution

The third proportional to 687,472 and 1,010,136 is: 1,484,241.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,472 : 1,010,136 = 1,010,136 : x
  2. Step 2: Convert to fraction form
    687,472/1,010,136 = 1,010,136/x
  3. Step 3: Cross multiply
    687,472x = 1,010,136 × 1,010,136
  4. Step 4: Simplify right side
    687,472x = 1,020,374,738,496
  5. Step 5: Solve for x
    x = 1,020,374,738,496/687,472
  6. Step 6: Final answer
    x = 1,484,241.89

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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.