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Finding the Third Proportional to 821,896,680 and 1,203,358,416

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Solution

The third proportional to 821,896,680 and 1,203,358,416 is: 1,761,865,587.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,896,680 : 1,203,358,416 = 1,203,358,416 : x
  2. Step 2: Convert to fraction form
    821,896,680/1,203,358,416 = 1,203,358,416/x
  3. Step 3: Cross multiply
    821,896,680x = 1,203,358,416 × 1,203,358,416
  4. Step 4: Simplify right side
    821,896,680x = 1,448,071,477,358,029,056
  5. Step 5: Solve for x
    x = 1,448,071,477,358,029,056/821,896,680
  6. Step 6: Final answer
    x = 1,761,865,587.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.