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Finding the Third Proportional to 423,459,036 and 917,267,544

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Solution

The third proportional to 423,459,036 and 917,267,544 is: 1,986,921,226.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,459,036 : 917,267,544 = 917,267,544 : x
  2. Step 2: Convert to fraction form
    423,459,036/917,267,544 = 917,267,544/x
  3. Step 3: Cross multiply
    423,459,036x = 917,267,544 × 917,267,544
  4. Step 4: Simplify right side
    423,459,036x = 841,379,747,275,791,872
  5. Step 5: Solve for x
    x = 841,379,747,275,791,872/423,459,036
  6. Step 6: Final answer
    x = 1,986,921,226.72

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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.