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Finding the Third Proportional to 762,402 and 1,657,603.50

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Solution

The third proportional to 762,402 and 1,657,603.50 is: 3,603,937.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,402 : 1,657,603.50 = 1,657,603.50 : x
  2. Step 2: Convert to fraction form
    762,402/1,657,603.50 = 1,657,603.50/x
  3. Step 3: Cross multiply
    762,402x = 1,657,603.50 × 1,657,603.50
  4. Step 4: Simplify right side
    762,402x = 2,747,649,363,212.25
  5. Step 5: Solve for x
    x = 2,747,649,363,212.25/762,402
  6. Step 6: Final answer
    x = 3,603,937.77

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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.