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Finding the Third Proportional to 762,778 and 1,645,508

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Solution

The third proportional to 762,778 and 1,645,508 is: 3,549,783.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,778 : 1,645,508 = 1,645,508 : x
  2. Step 2: Convert to fraction form
    762,778/1,645,508 = 1,645,508/x
  3. Step 3: Cross multiply
    762,778x = 1,645,508 × 1,645,508
  4. Step 4: Simplify right side
    762,778x = 2,707,696,578,064
  5. Step 5: Solve for x
    x = 2,707,696,578,064/762,778
  6. Step 6: Final answer
    x = 3,549,783.26

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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.