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Finding the Third Proportional to 812,730 and 1,195,527

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Solution

The third proportional to 812,730 and 1,195,527 is: 1,758,621.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,730 : 1,195,527 = 1,195,527 : x
  2. Step 2: Convert to fraction form
    812,730/1,195,527 = 1,195,527/x
  3. Step 3: Cross multiply
    812,730x = 1,195,527 × 1,195,527
  4. Step 4: Simplify right side
    812,730x = 1,429,284,807,729
  5. Step 5: Solve for x
    x = 1,429,284,807,729/812,730
  6. Step 6: Final answer
    x = 1,758,621.94

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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.