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Finding the Third Proportional to 607,060,924 and 1,306,193,816

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Solution

The third proportional to 607,060,924 and 1,306,193,816 is: 2,810,495,977.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,060,924 : 1,306,193,816 = 1,306,193,816 : x
  2. Step 2: Convert to fraction form
    607,060,924/1,306,193,816 = 1,306,193,816/x
  3. Step 3: Cross multiply
    607,060,924x = 1,306,193,816 × 1,306,193,816
  4. Step 4: Simplify right side
    607,060,924x = 1,706,142,284,956,641,792
  5. Step 5: Solve for x
    x = 1,706,142,284,956,641,792/607,060,924
  6. Step 6: Final answer
    x = 2,810,495,977.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.