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Finding the Third Proportional to 812,472 and 1,187,316

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Solution

The third proportional to 812,472 and 1,187,316 is: 1,735,098.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,472 : 1,187,316 = 1,187,316 : x
  2. Step 2: Convert to fraction form
    812,472/1,187,316 = 1,187,316/x
  3. Step 3: Cross multiply
    812,472x = 1,187,316 × 1,187,316
  4. Step 4: Simplify right side
    812,472x = 1,409,719,283,856
  5. Step 5: Solve for x
    x = 1,409,719,283,856/812,472
  6. Step 6: Final answer
    x = 1,735,098.91

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.