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Finding the Third Proportional to 563,840,262 and 1,210,969,134

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Solution

The third proportional to 563,840,262 and 1,210,969,134 is: 2,600,818,604.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,840,262 : 1,210,969,134 = 1,210,969,134 : x
  2. Step 2: Convert to fraction form
    563,840,262/1,210,969,134 = 1,210,969,134/x
  3. Step 3: Cross multiply
    563,840,262x = 1,210,969,134 × 1,210,969,134
  4. Step 4: Simplify right side
    563,840,262x = 1,466,446,243,500,709,888
  5. Step 5: Solve for x
    x = 1,466,446,243,500,709,888/563,840,262
  6. Step 6: Final answer
    x = 2,600,818,604.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.