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Finding the Third Proportional to 561,101 and 1,195,495

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Solution

The third proportional to 561,101 and 1,195,495 is: 2,547,149.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,101 : 1,195,495 = 1,195,495 : x
  2. Step 2: Convert to fraction form
    561,101/1,195,495 = 1,195,495/x
  3. Step 3: Cross multiply
    561,101x = 1,195,495 × 1,195,495
  4. Step 4: Simplify right side
    561,101x = 1,429,208,295,025
  5. Step 5: Solve for x
    x = 1,429,208,295,025/561,101
  6. Step 6: Final answer
    x = 2,547,149.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.