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Finding the Third Proportional to 546,115 and 1,197,207

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Solution

The third proportional to 546,115 and 1,197,207 is: 2,624,547.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,115 : 1,197,207 = 1,197,207 : x
  2. Step 2: Convert to fraction form
    546,115/1,197,207 = 1,197,207/x
  3. Step 3: Cross multiply
    546,115x = 1,197,207 × 1,197,207
  4. Step 4: Simplify right side
    546,115x = 1,433,304,600,849
  5. Step 5: Solve for x
    x = 1,433,304,600,849/546,115
  6. Step 6: Final answer
    x = 2,624,547.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.