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Finding the Third Proportional to 2,164,782 and 4,676,445

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Solution

The third proportional to 2,164,782 and 4,676,445 is: 10,102,235.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164,782 : 4,676,445 = 4,676,445 : x
  2. Step 2: Convert to fraction form
    2,164,782/4,676,445 = 4,676,445/x
  3. Step 3: Cross multiply
    2,164,782x = 4,676,445 × 4,676,445
  4. Step 4: Simplify right side
    2,164,782x = 21,869,137,838,025
  5. Step 5: Solve for x
    x = 21,869,137,838,025/2,164,782
  6. Step 6: Final answer
    x = 10,102,235.62

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.