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Finding the Third Proportional to 762,154 and 1,657,169

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Solution

The third proportional to 762,154 and 1,657,169 is: 3,603,220.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,154 : 1,657,169 = 1,657,169 : x
  2. Step 2: Convert to fraction form
    762,154/1,657,169 = 1,657,169/x
  3. Step 3: Cross multiply
    762,154x = 1,657,169 × 1,657,169
  4. Step 4: Simplify right side
    762,154x = 2,746,209,094,561
  5. Step 5: Solve for x
    x = 2,746,209,094,561/762,154
  6. Step 6: Final answer
    x = 3,603,220.73

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Why These Related Problems?

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