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Finding the Third Proportional to 1,098,448,169 and 1,657,887,434

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Solution

The third proportional to 1,098,448,169 and 1,657,887,434 is: 2,502,248,919.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098,448,169 : 1,657,887,434 = 1,657,887,434 : x
  2. Step 2: Convert to fraction form
    1,098,448,169/1,657,887,434 = 1,657,887,434/x
  3. Step 3: Cross multiply
    1,098,448,169x = 1,657,887,434 × 1,657,887,434
  4. Step 4: Simplify right side
    1,098,448,169x = 2,748,590,743,815,104,512
  5. Step 5: Solve for x
    x = 2,748,590,743,815,104,512/1,098,448,169
  6. Step 6: Final answer
    x = 2,502,248,919.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.