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Finding the Third Proportional to 732,645 and 1,562,064.75

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Solution

The third proportional to 732,645 and 1,562,064.75 is: 3,330,461.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,645 : 1,562,064.75 = 1,562,064.75 : x
  2. Step 2: Convert to fraction form
    732,645/1,562,064.75 = 1,562,064.75/x
  3. Step 3: Cross multiply
    732,645x = 1,562,064.75 × 1,562,064.75
  4. Step 4: Simplify right side
    732,645x = 2,440,046,283,192.56
  5. Step 5: Solve for x
    x = 2,440,046,283,192.56/732,645
  6. Step 6: Final answer
    x = 3,330,461.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.