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Finding the Third Proportional to 1,040,497,693 and 2,455,388,319

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Solution

The third proportional to 1,040,497,693 and 2,455,388,319 is: 5,794,276,948.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040,497,693 : 2,455,388,319 = 2,455,388,319 : x
  2. Step 2: Convert to fraction form
    1,040,497,693/2,455,388,319 = 2,455,388,319/x
  3. Step 3: Cross multiply
    1,040,497,693x = 2,455,388,319 × 2,455,388,319
  4. Step 4: Simplify right side
    1,040,497,693x = 6,028,931,797,081,646,080
  5. Step 5: Solve for x
    x = 6,028,931,797,081,646,080/1,040,497,693
  6. Step 6: Final answer
    x = 5,794,276,948.08

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.