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Finding the Third Proportional to 608,298,678 and 1,248,844,806

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Solution

The third proportional to 608,298,678 and 1,248,844,806 is: 2,563,894,030.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,298,678 : 1,248,844,806 = 1,248,844,806 : x
  2. Step 2: Convert to fraction form
    608,298,678/1,248,844,806 = 1,248,844,806/x
  3. Step 3: Cross multiply
    608,298,678x = 1,248,844,806 × 1,248,844,806
  4. Step 4: Simplify right side
    608,298,678x = 1,559,613,349,473,177,600
  5. Step 5: Solve for x
    x = 1,559,613,349,473,177,600/608,298,678
  6. Step 6: Final answer
    x = 2,563,894,030.81

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.