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Finding the Third Proportional to 1,031,254,218 and 1,635,633,207

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Solution

The third proportional to 1,031,254,218 and 1,635,633,207 is: 2,594,215,801.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031,254,218 : 1,635,633,207 = 1,635,633,207 : x
  2. Step 2: Convert to fraction form
    1,031,254,218/1,635,633,207 = 1,635,633,207/x
  3. Step 3: Cross multiply
    1,031,254,218x = 1,635,633,207 × 1,635,633,207
  4. Step 4: Simplify right side
    1,031,254,218x = 2,675,295,987,841,104,896
  5. Step 5: Solve for x
    x = 2,675,295,987,841,104,896/1,031,254,218
  6. Step 6: Final answer
    x = 2,594,215,801.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.