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Finding the Third Proportional to 423,569,370 and 619,098,768

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Solution

The third proportional to 423,569,370 and 619,098,768 is: 904,889,049.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,569,370 : 619,098,768 = 619,098,768 : x
  2. Step 2: Convert to fraction form
    423,569,370/619,098,768 = 619,098,768/x
  3. Step 3: Cross multiply
    423,569,370x = 619,098,768 × 619,098,768
  4. Step 4: Simplify right side
    423,569,370x = 383,283,284,539,117,824
  5. Step 5: Solve for x
    x = 383,283,284,539,117,824/423,569,370
  6. Step 6: Final answer
    x = 904,889,049.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.