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Finding the Third Proportional to 726,700 and 1,564,460

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Solution

The third proportional to 726,700 and 1,564,460 is: 3,368,013.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,700 : 1,564,460 = 1,564,460 : x
  2. Step 2: Convert to fraction form
    726,700/1,564,460 = 1,564,460/x
  3. Step 3: Cross multiply
    726,700x = 1,564,460 × 1,564,460
  4. Step 4: Simplify right side
    726,700x = 2,447,535,091,600
  5. Step 5: Solve for x
    x = 2,447,535,091,600/726,700
  6. Step 6: Final answer
    x = 3,368,013.06

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.