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Finding the Third Proportional to 461,513 and 1,001,758

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Solution

The third proportional to 461,513 and 1,001,758 is: 2,174,411.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,513 : 1,001,758 = 1,001,758 : x
  2. Step 2: Convert to fraction form
    461,513/1,001,758 = 1,001,758/x
  3. Step 3: Cross multiply
    461,513x = 1,001,758 × 1,001,758
  4. Step 4: Simplify right side
    461,513x = 1,003,519,090,564
  5. Step 5: Solve for x
    x = 1,003,519,090,564/461,513
  6. Step 6: Final answer
    x = 2,174,411.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.