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Finding the Third Proportional to 1,061,645,297 and 1,592,468,148

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Solution

The third proportional to 1,061,645,297 and 1,592,468,148 is: 2,388,702,525.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061,645,297 : 1,592,468,148 = 1,592,468,148 : x
  2. Step 2: Convert to fraction form
    1,061,645,297/1,592,468,148 = 1,592,468,148/x
  3. Step 3: Cross multiply
    1,061,645,297x = 1,592,468,148 × 1,592,468,148
  4. Step 4: Simplify right side
    1,061,645,297x = 2,535,954,802,394,549,760
  5. Step 5: Solve for x
    x = 2,535,954,802,394,549,760/1,061,645,297
  6. Step 6: Final answer
    x = 2,388,702,525.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.