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Finding the Third Proportional to 915,844 and 1,346,342

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Solution

The third proportional to 915,844 and 1,346,342 is: 1,979,198.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    915,844 : 1,346,342 = 1,346,342 : x
  2. Step 2: Convert to fraction form
    915,844/1,346,342 = 1,346,342/x
  3. Step 3: Cross multiply
    915,844x = 1,346,342 × 1,346,342
  4. Step 4: Simplify right side
    915,844x = 1,812,636,780,964
  5. Step 5: Solve for x
    x = 1,812,636,780,964/915,844
  6. Step 6: Final answer
    x = 1,979,198.18

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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.