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Finding the Third Proportional to 523,281 and 1,130,207

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Solution

The third proportional to 523,281 and 1,130,207 is: 2,441,074.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,281 : 1,130,207 = 1,130,207 : x
  2. Step 2: Convert to fraction form
    523,281/1,130,207 = 1,130,207/x
  3. Step 3: Cross multiply
    523,281x = 1,130,207 × 1,130,207
  4. Step 4: Simplify right side
    523,281x = 1,277,367,862,849
  5. Step 5: Solve for x
    x = 1,277,367,862,849/523,281
  6. Step 6: Final answer
    x = 2,441,074.42

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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.