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Finding the Third Proportional to 498,477,015 and 1,084,730,368

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Solution

The third proportional to 498,477,015 and 1,084,730,368 is: 2,360,469,862.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,477,015 : 1,084,730,368 = 1,084,730,368 : x
  2. Step 2: Convert to fraction form
    498,477,015/1,084,730,368 = 1,084,730,368/x
  3. Step 3: Cross multiply
    498,477,015x = 1,084,730,368 × 1,084,730,368
  4. Step 4: Simplify right side
    498,477,015x = 1,176,639,971,261,415,424
  5. Step 5: Solve for x
    x = 1,176,639,971,261,415,424/498,477,015
  6. Step 6: Final answer
    x = 2,360,469,862.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.