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Finding the Third Proportional to 413,894,556 and 901,272,310

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Solution

The third proportional to 413,894,556 and 901,272,310 is: 1,962,557,286.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,894,556 : 901,272,310 = 901,272,310 : x
  2. Step 2: Convert to fraction form
    413,894,556/901,272,310 = 901,272,310/x
  3. Step 3: Cross multiply
    413,894,556x = 901,272,310 × 901,272,310
  4. Step 4: Simplify right side
    413,894,556x = 812,291,776,772,736,128
  5. Step 5: Solve for x
    x = 812,291,776,772,736,128/413,894,556
  6. Step 6: Final answer
    x = 1,962,557,286.63

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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.