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Finding the Third Proportional to 732,080 and 1,499,832

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Solution

The third proportional to 732,080 and 1,499,832 is: 3,072,746.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,080 : 1,499,832 = 1,499,832 : x
  2. Step 2: Convert to fraction form
    732,080/1,499,832 = 1,499,832/x
  3. Step 3: Cross multiply
    732,080x = 1,499,832 × 1,499,832
  4. Step 4: Simplify right side
    732,080x = 2,249,496,028,224
  5. Step 5: Solve for x
    x = 2,249,496,028,224/732,080
  6. Step 6: Final answer
    x = 3,072,746.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.