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Finding the Third Proportional to 874,946 and 1,370,739

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Solution

The third proportional to 874,946 and 1,370,739 is: 2,147,475.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,946 : 1,370,739 = 1,370,739 : x
  2. Step 2: Convert to fraction form
    874,946/1,370,739 = 1,370,739/x
  3. Step 3: Cross multiply
    874,946x = 1,370,739 × 1,370,739
  4. Step 4: Simplify right side
    874,946x = 1,878,925,406,121
  5. Step 5: Solve for x
    x = 1,878,925,406,121/874,946
  6. Step 6: Final answer
    x = 2,147,475.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.