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Finding the Third Proportional to 2,175,654 and 4,712,898

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Solution

The third proportional to 2,175,654 and 4,712,898 is: 10,209,071.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175,654 : 4,712,898 = 4,712,898 : x
  2. Step 2: Convert to fraction form
    2,175,654/4,712,898 = 4,712,898/x
  3. Step 3: Cross multiply
    2,175,654x = 4,712,898 × 4,712,898
  4. Step 4: Simplify right side
    2,175,654x = 22,211,407,558,404
  5. Step 5: Solve for x
    x = 22,211,407,558,404/2,175,654
  6. Step 6: Final answer
    x = 10,209,071.64

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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.