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Finding the Third Proportional to 543,588 and 1,152,948

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Solution

The third proportional to 543,588 and 1,152,948 is: 2,445,398.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,588 : 1,152,948 = 1,152,948 : x
  2. Step 2: Convert to fraction form
    543,588/1,152,948 = 1,152,948/x
  3. Step 3: Cross multiply
    543,588x = 1,152,948 × 1,152,948
  4. Step 4: Simplify right side
    543,588x = 1,329,289,090,704
  5. Step 5: Solve for x
    x = 1,329,289,090,704/543,588
  6. Step 6: Final answer
    x = 2,445,398.15

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.