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Finding the Third Proportional to 578,397,374 and 881,148,658

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Solution

The third proportional to 578,397,374 and 881,148,658 is: 1,342,369,437.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,397,374 : 881,148,658 = 881,148,658 : x
  2. Step 2: Convert to fraction form
    578,397,374/881,148,658 = 881,148,658/x
  3. Step 3: Cross multiply
    578,397,374x = 881,148,658 × 881,148,658
  4. Step 4: Simplify right side
    578,397,374x = 776,422,957,495,201,024
  5. Step 5: Solve for x
    x = 776,422,957,495,201,024/578,397,374
  6. Step 6: Final answer
    x = 1,342,369,437.34

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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.