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Finding the Third Proportional to 600,036,564 and 901,652,436

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Solution

The third proportional to 600,036,564 and 901,652,436 is: 1,354,879,292.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,036,564 : 901,652,436 = 901,652,436 : x
  2. Step 2: Convert to fraction form
    600,036,564/901,652,436 = 901,652,436/x
  3. Step 3: Cross multiply
    600,036,564x = 901,652,436 × 901,652,436
  4. Step 4: Simplify right side
    600,036,564x = 812,977,115,344,734,080
  5. Step 5: Solve for x
    x = 812,977,115,344,734,080/600,036,564
  6. Step 6: Final answer
    x = 1,354,879,292.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.