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Finding the Third Proportional to 523,835,289 and 1,140,672,754

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Solution

The third proportional to 523,835,289 and 1,140,672,754 is: 2,483,861,547.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,835,289 : 1,140,672,754 = 1,140,672,754 : x
  2. Step 2: Convert to fraction form
    523,835,289/1,140,672,754 = 1,140,672,754/x
  3. Step 3: Cross multiply
    523,835,289x = 1,140,672,754 × 1,140,672,754
  4. Step 4: Simplify right side
    523,835,289x = 1,301,134,331,717,944,576
  5. Step 5: Solve for x
    x = 1,301,134,331,717,944,576/523,835,289
  6. Step 6: Final answer
    x = 2,483,861,547.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.