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Finding the Third Proportional to 732,657 and 1,562,088

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Solution

The third proportional to 732,657 and 1,562,088 is: 3,330,506.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,657 : 1,562,088 = 1,562,088 : x
  2. Step 2: Convert to fraction form
    732,657/1,562,088 = 1,562,088/x
  3. Step 3: Cross multiply
    732,657x = 1,562,088 × 1,562,088
  4. Step 4: Simplify right side
    732,657x = 2,440,118,919,744
  5. Step 5: Solve for x
    x = 2,440,118,919,744/732,657
  6. Step 6: Final answer
    x = 3,330,506.53

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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.