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Finding the Third Proportional to 916,017 and 1,346,655

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Solution

The third proportional to 916,017 and 1,346,655 is: 1,979,744.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,017 : 1,346,655 = 1,346,655 : x
  2. Step 2: Convert to fraction form
    916,017/1,346,655 = 1,346,655/x
  3. Step 3: Cross multiply
    916,017x = 1,346,655 × 1,346,655
  4. Step 4: Simplify right side
    916,017x = 1,813,479,689,025
  5. Step 5: Solve for x
    x = 1,813,479,689,025/916,017
  6. Step 6: Final answer
    x = 1,979,744.58

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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.