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Finding the Third Proportional to 738,855,234 and 1,606,315,908

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Solution

The third proportional to 738,855,234 and 1,606,315,908 is: 3,492,227,810.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,855,234 : 1,606,315,908 = 1,606,315,908 : x
  2. Step 2: Convert to fraction form
    738,855,234/1,606,315,908 = 1,606,315,908/x
  3. Step 3: Cross multiply
    738,855,234x = 1,606,315,908 × 1,606,315,908
  4. Step 4: Simplify right side
    738,855,234x = 2,580,250,796,293,864,448
  5. Step 5: Solve for x
    x = 2,580,250,796,293,864,448/738,855,234
  6. Step 6: Final answer
    x = 3,492,227,810.75

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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.