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Finding the Third Proportional to 2,086,594 and 4,571,708

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Solution

The third proportional to 2,086,594 and 4,571,708 is: 10,016,569.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086,594 : 4,571,708 = 4,571,708 : x
  2. Step 2: Convert to fraction form
    2,086,594/4,571,708 = 4,571,708/x
  3. Step 3: Cross multiply
    2,086,594x = 4,571,708 × 4,571,708
  4. Step 4: Simplify right side
    2,086,594x = 20,900,514,037,264
  5. Step 5: Solve for x
    x = 20,900,514,037,264/2,086,594
  6. Step 6: Final answer
    x = 10,016,569.60

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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.