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Finding the Third Proportional to 760,161.50 and 1,652,633

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Solution

The third proportional to 760,161.50 and 1,652,633 is: 3,592,915.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,161.50 : 1,652,633 = 1,652,633 : x
  2. Step 2: Convert to fraction form
    760,161.50/1,652,633 = 1,652,633/x
  3. Step 3: Cross multiply
    760,161.50x = 1,652,633 × 1,652,633
  4. Step 4: Simplify right side
    760,161.50x = 2,731,195,832,689
  5. Step 5: Solve for x
    x = 2,731,195,832,689/760,161.50
  6. Step 6: Final answer
    x = 3,592,915.23

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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.