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Finding the Third Proportional to 762,430 and 1,657,660

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Solution

The third proportional to 762,430 and 1,657,660 is: 3,604,051.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,430 : 1,657,660 = 1,657,660 : x
  2. Step 2: Convert to fraction form
    762,430/1,657,660 = 1,657,660/x
  3. Step 3: Cross multiply
    762,430x = 1,657,660 × 1,657,660
  4. Step 4: Simplify right side
    762,430x = 2,747,836,675,600
  5. Step 5: Solve for x
    x = 2,747,836,675,600/762,430
  6. Step 6: Final answer
    x = 3,604,051.09

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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.