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Finding the Third Proportional to 680,157 and 1,016,681.63

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Solution

The third proportional to 680,157 and 1,016,681.63 is: 1,519,710.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,157 : 1,016,681.63 = 1,016,681.63 : x
  2. Step 2: Convert to fraction form
    680,157/1,016,681.63 = 1,016,681.63/x
  3. Step 3: Cross multiply
    680,157x = 1,016,681.63 × 1,016,681.63
  4. Step 4: Simplify right side
    680,157x = 1,033,641,526,612.64
  5. Step 5: Solve for x
    x = 1,033,641,526,612.64/680,157
  6. Step 6: Final answer
    x = 1,519,710.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.