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Finding the Third Proportional to 473,076 and 1,024,893

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Solution

The third proportional to 473,076 and 1,024,893 is: 2,220,374.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,076 : 1,024,893 = 1,024,893 : x
  2. Step 2: Convert to fraction form
    473,076/1,024,893 = 1,024,893/x
  3. Step 3: Cross multiply
    473,076x = 1,024,893 × 1,024,893
  4. Step 4: Simplify right side
    473,076x = 1,050,405,661,449
  5. Step 5: Solve for x
    x = 1,050,405,661,449/473,076
  6. Step 6: Final answer
    x = 2,220,374.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.