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Finding the Third Proportional to 3,657,748 and 5,685,918

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Solution

The third proportional to 3,657,748 and 5,685,918 is: 8,838,679.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657,748 : 5,685,918 = 5,685,918 : x
  2. Step 2: Convert to fraction form
    3,657,748/5,685,918 = 5,685,918/x
  3. Step 3: Cross multiply
    3,657,748x = 5,685,918 × 5,685,918
  4. Step 4: Simplify right side
    3,657,748x = 32,329,663,502,724
  5. Step 5: Solve for x
    x = 32,329,663,502,724/3,657,748
  6. Step 6: Final answer
    x = 8,838,679.84

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.