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Finding the Third Proportional to 676,587 and 1,458,948

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Solution

The third proportional to 676,587 and 1,458,948 is: 3,145,980.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,587 : 1,458,948 = 1,458,948 : x
  2. Step 2: Convert to fraction form
    676,587/1,458,948 = 1,458,948/x
  3. Step 3: Cross multiply
    676,587x = 1,458,948 × 1,458,948
  4. Step 4: Simplify right side
    676,587x = 2,128,529,266,704
  5. Step 5: Solve for x
    x = 2,128,529,266,704/676,587
  6. Step 6: Final answer
    x = 3,145,980.14

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Why These Related Problems?

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