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Finding the Third Proportional to 749,748 and 1,617,596

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Solution

The third proportional to 749,748 and 1,617,596 is: 3,489,995.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,748 : 1,617,596 = 1,617,596 : x
  2. Step 2: Convert to fraction form
    749,748/1,617,596 = 1,617,596/x
  3. Step 3: Cross multiply
    749,748x = 1,617,596 × 1,617,596
  4. Step 4: Simplify right side
    749,748x = 2,616,616,819,216
  5. Step 5: Solve for x
    x = 2,616,616,819,216/749,748
  6. Step 6: Final answer
    x = 3,489,995.06

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.