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Finding the Third Proportional to 651,416 and 1,435,348

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Solution

The third proportional to 651,416 and 1,435,348 is: 3,162,685.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,416 : 1,435,348 = 1,435,348 : x
  2. Step 2: Convert to fraction form
    651,416/1,435,348 = 1,435,348/x
  3. Step 3: Cross multiply
    651,416x = 1,435,348 × 1,435,348
  4. Step 4: Simplify right side
    651,416x = 2,060,223,881,104
  5. Step 5: Solve for x
    x = 2,060,223,881,104/651,416
  6. Step 6: Final answer
    x = 3,162,685.41

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.