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Finding the Third Proportional to 578,257,983 and 880,938,729

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Solution

The third proportional to 578,257,983 and 880,938,729 is: 1,342,053,317.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,257,983 : 880,938,729 = 880,938,729 : x
  2. Step 2: Convert to fraction form
    578,257,983/880,938,729 = 880,938,729/x
  3. Step 3: Cross multiply
    578,257,983x = 880,938,729 × 880,938,729
  4. Step 4: Simplify right side
    578,257,983x = 776,053,044,252,135,424
  5. Step 5: Solve for x
    x = 776,053,044,252,135,424/578,257,983
  6. Step 6: Final answer
    x = 1,342,053,317.15

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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.