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Finding the Third Proportional to 426,176,424 and 935,305,776

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Solution

The third proportional to 426,176,424 and 935,305,776 is: 2,052,663,745.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,176,424 : 935,305,776 = 935,305,776 : x
  2. Step 2: Convert to fraction form
    426,176,424/935,305,776 = 935,305,776/x
  3. Step 3: Cross multiply
    426,176,424x = 935,305,776 × 935,305,776
  4. Step 4: Simplify right side
    426,176,424x = 874,796,894,618,962,176
  5. Step 5: Solve for x
    x = 874,796,894,618,962,176/426,176,424
  6. Step 6: Final answer
    x = 2,052,663,745.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.