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Finding the Third Proportional to 720,946,596 and 1,480,112,392

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Solution

The third proportional to 720,946,596 and 1,480,112,392 is: 3,038,689,280.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,946,596 : 1,480,112,392 = 1,480,112,392 : x
  2. Step 2: Convert to fraction form
    720,946,596/1,480,112,392 = 1,480,112,392/x
  3. Step 3: Cross multiply
    720,946,596x = 1,480,112,392 × 1,480,112,392
  4. Step 4: Simplify right side
    720,946,596x = 2,190,732,692,951,961,600
  5. Step 5: Solve for x
    x = 2,190,732,692,951,961,600/720,946,596
  6. Step 6: Final answer
    x = 3,038,689,280.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.