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Finding the Third Proportional to 507,520,858 and 807,565,440

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Solution

The third proportional to 507,520,858 and 807,565,440 is: 1,284,995,344.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,520,858 : 807,565,440 = 807,565,440 : x
  2. Step 2: Convert to fraction form
    507,520,858/807,565,440 = 807,565,440/x
  3. Step 3: Cross multiply
    507,520,858x = 807,565,440 × 807,565,440
  4. Step 4: Simplify right side
    507,520,858x = 652,161,939,882,393,600
  5. Step 5: Solve for x
    x = 652,161,939,882,393,600/507,520,858
  6. Step 6: Final answer
    x = 1,284,995,344.73

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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.