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Finding the Third Proportional to 874,575,736 and 1,341,094,764

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Solution

The third proportional to 874,575,736 and 1,341,094,764 is: 2,056,465,886.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,575,736 : 1,341,094,764 = 1,341,094,764 : x
  2. Step 2: Convert to fraction form
    874,575,736/1,341,094,764 = 1,341,094,764/x
  3. Step 3: Cross multiply
    874,575,736x = 1,341,094,764 × 1,341,094,764
  4. Step 4: Simplify right side
    874,575,736x = 1,798,535,166,028,215,808
  5. Step 5: Solve for x
    x = 1,798,535,166,028,215,808/874,575,736
  6. Step 6: Final answer
    x = 2,056,465,886.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.