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Finding the Third Proportional to 473,126 and 1,021,292

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Solution

The third proportional to 473,126 and 1,021,292 is: 2,204,565.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,126 : 1,021,292 = 1,021,292 : x
  2. Step 2: Convert to fraction form
    473,126/1,021,292 = 1,021,292/x
  3. Step 3: Cross multiply
    473,126x = 1,021,292 × 1,021,292
  4. Step 4: Simplify right side
    473,126x = 1,043,037,349,264
  5. Step 5: Solve for x
    x = 1,043,037,349,264/473,126
  6. Step 6: Final answer
    x = 2,204,565.70

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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.