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Finding the Third Proportional to 473,078 and 1,024,897

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Solution

The third proportional to 473,078 and 1,024,897 is: 2,220,381.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,078 : 1,024,897 = 1,024,897 : x
  2. Step 2: Convert to fraction form
    473,078/1,024,897 = 1,024,897/x
  3. Step 3: Cross multiply
    473,078x = 1,024,897 × 1,024,897
  4. Step 4: Simplify right side
    473,078x = 1,050,413,860,609
  5. Step 5: Solve for x
    x = 1,050,413,860,609/473,078
  6. Step 6: Final answer
    x = 2,220,381.97

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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.