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Finding the Third Proportional to 872,699 and 1,347,948

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Solution

The third proportional to 872,699 and 1,347,948 is: 2,082,005.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,699 : 1,347,948 = 1,347,948 : x
  2. Step 2: Convert to fraction form
    872,699/1,347,948 = 1,347,948/x
  3. Step 3: Cross multiply
    872,699x = 1,347,948 × 1,347,948
  4. Step 4: Simplify right side
    872,699x = 1,816,963,810,704
  5. Step 5: Solve for x
    x = 1,816,963,810,704/872,699
  6. Step 6: Final answer
    x = 2,082,005.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.