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Finding the Third Proportional to 417,926,031 and 901,292,973

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Solution

The third proportional to 417,926,031 and 901,292,973 is: 1,943,714,827.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,926,031 : 901,292,973 = 901,292,973 : x
  2. Step 2: Convert to fraction form
    417,926,031/901,292,973 = 901,292,973/x
  3. Step 3: Cross multiply
    417,926,031x = 901,292,973 × 901,292,973
  4. Step 4: Simplify right side
    417,926,031x = 812,329,023,179,178,752
  5. Step 5: Solve for x
    x = 812,329,023,179,178,752/417,926,031
  6. Step 6: Final answer
    x = 1,943,714,827.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.