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Finding the Third Proportional to 575,769,924 and 1,253,768,328

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Solution

The third proportional to 575,769,924 and 1,253,768,328 is: 2,730,144,376.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,769,924 : 1,253,768,328 = 1,253,768,328 : x
  2. Step 2: Convert to fraction form
    575,769,924/1,253,768,328 = 1,253,768,328/x
  3. Step 3: Cross multiply
    575,769,924x = 1,253,768,328 × 1,253,768,328
  4. Step 4: Simplify right side
    575,769,924x = 1,571,935,020,295,915,520
  5. Step 5: Solve for x
    x = 1,571,935,020,295,915,520/575,769,924
  6. Step 6: Final answer
    x = 2,730,144,376.72

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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.