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Finding the Third Proportional to 601,056,692 and 906,315,072

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Solution

The third proportional to 601,056,692 and 906,315,072 is: 1,366,604,882.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,056,692 : 906,315,072 = 906,315,072 : x
  2. Step 2: Convert to fraction form
    601,056,692/906,315,072 = 906,315,072/x
  3. Step 3: Cross multiply
    601,056,692x = 906,315,072 × 906,315,072
  4. Step 4: Simplify right side
    601,056,692x = 821,407,009,734,365,184
  5. Step 5: Solve for x
    x = 821,407,009,734,365,184/601,056,692
  6. Step 6: Final answer
    x = 1,366,604,882.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.