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Finding the Third Proportional to 716,891,808 and 1,107,174,966

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Solution

The third proportional to 716,891,808 and 1,107,174,966 is: 1,709,932,226.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,891,808 : 1,107,174,966 = 1,107,174,966 : x
  2. Step 2: Convert to fraction form
    716,891,808/1,107,174,966 = 1,107,174,966/x
  3. Step 3: Cross multiply
    716,891,808x = 1,107,174,966 × 1,107,174,966
  4. Step 4: Simplify right side
    716,891,808x = 1,225,836,405,337,101,056
  5. Step 5: Solve for x
    x = 1,225,836,405,337,101,056/716,891,808
  6. Step 6: Final answer
    x = 1,709,932,226.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.