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Finding the Third Proportional to 294,448,764 and 619,357,920

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Solution

The third proportional to 294,448,764 and 619,357,920 is: 1,302,787,717.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,448,764 : 619,357,920 = 619,357,920 : x
  2. Step 2: Convert to fraction form
    294,448,764/619,357,920 = 619,357,920/x
  3. Step 3: Cross multiply
    294,448,764x = 619,357,920 × 619,357,920
  4. Step 4: Simplify right side
    294,448,764x = 383,604,233,066,726,400
  5. Step 5: Solve for x
    x = 383,604,233,066,726,400/294,448,764
  6. Step 6: Final answer
    x = 1,302,787,717.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.