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Finding the Third Proportional to 575,052,368 and 822,331,616

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Solution

The third proportional to 575,052,368 and 822,331,616 is: 1,175,943,834.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,052,368 : 822,331,616 = 822,331,616 : x
  2. Step 2: Convert to fraction form
    575,052,368/822,331,616 = 822,331,616/x
  3. Step 3: Cross multiply
    575,052,368x = 822,331,616 × 822,331,616
  4. Step 4: Simplify right side
    575,052,368x = 676,229,286,673,171,456
  5. Step 5: Solve for x
    x = 676,229,286,673,171,456/575,052,368
  6. Step 6: Final answer
    x = 1,175,943,834.52

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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.