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Finding the Third Proportional to 807,580 and 1,748,900

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Solution

The third proportional to 807,580 and 1,748,900 is: 3,787,428.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,580 : 1,748,900 = 1,748,900 : x
  2. Step 2: Convert to fraction form
    807,580/1,748,900 = 1,748,900/x
  3. Step 3: Cross multiply
    807,580x = 1,748,900 × 1,748,900
  4. Step 4: Simplify right side
    807,580x = 3,058,651,210,000
  5. Step 5: Solve for x
    x = 3,058,651,210,000/807,580
  6. Step 6: Final answer
    x = 3,787,428.13

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.