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Finding the Third Proportional to 417,582 and 910,440

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Solution

The third proportional to 417,582 and 910,440 is: 1,985,001.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,582 : 910,440 = 910,440 : x
  2. Step 2: Convert to fraction form
    417,582/910,440 = 910,440/x
  3. Step 3: Cross multiply
    417,582x = 910,440 × 910,440
  4. Step 4: Simplify right side
    417,582x = 828,900,993,600
  5. Step 5: Solve for x
    x = 828,900,993,600/417,582
  6. Step 6: Final answer
    x = 1,985,001.73

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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.