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Finding the Third Proportional to 410,642,810 and 855,254,104

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Solution

The third proportional to 410,642,810 and 855,254,104 is: 1,781,255,058.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,642,810 : 855,254,104 = 855,254,104 : x
  2. Step 2: Convert to fraction form
    410,642,810/855,254,104 = 855,254,104/x
  3. Step 3: Cross multiply
    410,642,810x = 855,254,104 × 855,254,104
  4. Step 4: Simplify right side
    410,642,810x = 731,459,582,408,842,752
  5. Step 5: Solve for x
    x = 731,459,582,408,842,752/410,642,810
  6. Step 6: Final answer
    x = 1,781,255,058.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.