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Finding the Third Proportional to 507,520,890 and 807,565,494.38

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Solution

The third proportional to 507,520,890 and 807,565,494.38 is: 1,284,995,436.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,520,890 : 807,565,494.38 = 807,565,494.38 : x
  2. Step 2: Convert to fraction form
    507,520,890/807,565,494.38 = 807,565,494.38/x
  3. Step 3: Cross multiply
    507,520,890x = 807,565,494.38 × 807,565,494.38
  4. Step 4: Simplify right side
    507,520,890x = 652,162,027,705,138,176
  5. Step 5: Solve for x
    x = 652,162,027,705,138,176/507,520,890
  6. Step 6: Final answer
    x = 1,284,995,436.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.