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Finding the Third Proportional to 595,004,461 and 1,285,615,814

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Solution

The third proportional to 595,004,461 and 1,285,615,814 is: 2,777,807,780.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,004,461 : 1,285,615,814 = 1,285,615,814 : x
  2. Step 2: Convert to fraction form
    595,004,461/1,285,615,814 = 1,285,615,814/x
  3. Step 3: Cross multiply
    595,004,461x = 1,285,615,814 × 1,285,615,814
  4. Step 4: Simplify right side
    595,004,461x = 1,652,808,021,206,882,560
  5. Step 5: Solve for x
    x = 1,652,808,021,206,882,560/595,004,461
  6. Step 6: Final answer
    x = 2,777,807,780.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.