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Finding the Third Proportional to 1,657,687.50 and 3,623,535

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Solution

The third proportional to 1,657,687.50 and 3,623,535 is: 7,920,676.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657,687.50 : 3,623,535 = 3,623,535 : x
  2. Step 2: Convert to fraction form
    1,657,687.50/3,623,535 = 3,623,535/x
  3. Step 3: Cross multiply
    1,657,687.50x = 3,623,535 × 3,623,535
  4. Step 4: Simplify right side
    1,657,687.50x = 13,130,005,896,225
  5. Step 5: Solve for x
    x = 13,130,005,896,225/1,657,687.50
  6. Step 6: Final answer
    x = 7,920,676.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.