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Finding the Third Proportional to 2,194,377 and 4,762,688

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Solution

The third proportional to 2,194,377 and 4,762,688 is: 10,336,964.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194,377 : 4,762,688 = 4,762,688 : x
  2. Step 2: Convert to fraction form
    2,194,377/4,762,688 = 4,762,688/x
  3. Step 3: Cross multiply
    2,194,377x = 4,762,688 × 4,762,688
  4. Step 4: Simplify right side
    2,194,377x = 22,683,196,985,344
  5. Step 5: Solve for x
    x = 22,683,196,985,344/2,194,377
  6. Step 6: Final answer
    x = 10,336,964.43

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.