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Finding the Third Proportional to 915,850 and 1,346,352

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Solution

The third proportional to 915,850 and 1,346,352 is: 1,979,214.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    915,850 : 1,346,352 = 1,346,352 : x
  2. Step 2: Convert to fraction form
    915,850/1,346,352 = 1,346,352/x
  3. Step 3: Cross multiply
    915,850x = 1,346,352 × 1,346,352
  4. Step 4: Simplify right side
    915,850x = 1,812,663,707,904
  5. Step 5: Solve for x
    x = 1,812,663,707,904/915,850
  6. Step 6: Final answer
    x = 1,979,214.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.