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Finding the Third Proportional to 578,257,971 and 880,938,711

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Solution

The third proportional to 578,257,971 and 880,938,711 is: 1,342,053,290.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,257,971 : 880,938,711 = 880,938,711 : x
  2. Step 2: Convert to fraction form
    578,257,971/880,938,711 = 880,938,711/x
  3. Step 3: Cross multiply
    578,257,971x = 880,938,711 × 880,938,711
  4. Step 4: Simplify right side
    578,257,971x = 776,053,012,538,341,504
  5. Step 5: Solve for x
    x = 776,053,012,538,341,504/578,257,971
  6. Step 6: Final answer
    x = 1,342,053,290.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.