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Finding the Third Proportional to 439,211,040 and 585,545,900

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Solution

The third proportional to 439,211,040 and 585,545,900 is: 780,636,117.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,211,040 : 585,545,900 = 585,545,900 : x
  2. Step 2: Convert to fraction form
    439,211,040/585,545,900 = 585,545,900/x
  3. Step 3: Cross multiply
    439,211,040x = 585,545,900 × 585,545,900
  4. Step 4: Simplify right side
    439,211,040x = 342,864,001,006,809,984
  5. Step 5: Solve for x
    x = 342,864,001,006,809,984/439,211,040
  6. Step 6: Final answer
    x = 780,636,117.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.