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Finding the Third Proportional to 616,506.13 and 1,350,867.13

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Solution

The third proportional to 616,506.13 and 1,350,867.13 is: 2,959,973.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,506.13 : 1,350,867.13 = 1,350,867.13 : x
  2. Step 2: Convert to fraction form
    616,506.13/1,350,867.13 = 1,350,867.13/x
  3. Step 3: Cross multiply
    616,506.13x = 1,350,867.13 × 1,350,867.13
  4. Step 4: Simplify right side
    616,506.13x = 1,824,841,989,405.77
  5. Step 5: Solve for x
    x = 1,824,841,989,405.77/616,506.13
  6. Step 6: Final answer
    x = 2,959,973.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.