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Finding the Third Proportional to 417,585 and 910,446

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Solution

The third proportional to 417,585 and 910,446 is: 1,985,013.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,585 : 910,446 = 910,446 : x
  2. Step 2: Convert to fraction form
    417,585/910,446 = 910,446/x
  3. Step 3: Cross multiply
    417,585x = 910,446 × 910,446
  4. Step 4: Simplify right side
    417,585x = 828,911,918,916
  5. Step 5: Solve for x
    x = 828,911,918,916/417,585
  6. Step 6: Final answer
    x = 1,985,013.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.