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Finding the Third Proportional to 2,254,655.25 and 4,730,865.75

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Solution

The third proportional to 2,254,655.25 and 4,730,865.75 is: 9,926,613.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254,655.25 : 4,730,865.75 = 4,730,865.75 : x
  2. Step 2: Convert to fraction form
    2,254,655.25/4,730,865.75 = 4,730,865.75/x
  3. Step 3: Cross multiply
    2,254,655.25x = 4,730,865.75 × 4,730,865.75
  4. Step 4: Simplify right side
    2,254,655.25x = 22,381,090,744,523.06
  5. Step 5: Solve for x
    x = 22,381,090,744,523.06/2,254,655.25
  6. Step 6: Final answer
    x = 9,926,613.28

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.