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Finding the Third Proportional to 575,052,702 and 822,331,692

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Solution

The third proportional to 575,052,702 and 822,331,692 is: 1,175,943,368.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,052,702 : 822,331,692 = 822,331,692 : x
  2. Step 2: Convert to fraction form
    575,052,702/822,331,692 = 822,331,692/x
  3. Step 3: Cross multiply
    575,052,702x = 822,331,692 × 822,331,692
  4. Step 4: Simplify right side
    575,052,702x = 676,229,411,667,582,848
  5. Step 5: Solve for x
    x = 676,229,411,667,582,848/575,052,702
  6. Step 6: Final answer
    x = 1,175,943,368.87

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.