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Finding the Third Proportional to 480,190,041 and 1,070,791,332

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Solution

The third proportional to 480,190,041 and 1,070,791,332 is: 2,387,792,288.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,190,041 : 1,070,791,332 = 1,070,791,332 : x
  2. Step 2: Convert to fraction form
    480,190,041/1,070,791,332 = 1,070,791,332/x
  3. Step 3: Cross multiply
    480,190,041x = 1,070,791,332 × 1,070,791,332
  4. Step 4: Simplify right side
    480,190,041x = 1,146,594,076,686,334,208
  5. Step 5: Solve for x
    x = 1,146,594,076,686,334,208/480,190,041
  6. Step 6: Final answer
    x = 2,387,792,288.03

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.