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Finding the Third Proportional to 695,490 and 1,466,739

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Solution

The third proportional to 695,490 and 1,466,739 is: 3,093,248.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,490 : 1,466,739 = 1,466,739 : x
  2. Step 2: Convert to fraction form
    695,490/1,466,739 = 1,466,739/x
  3. Step 3: Cross multiply
    695,490x = 1,466,739 × 1,466,739
  4. Step 4: Simplify right side
    695,490x = 2,151,323,294,121
  5. Step 5: Solve for x
    x = 2,151,323,294,121/695,490
  6. Step 6: Final answer
    x = 3,093,248.35

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.