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Finding the Third Proportional to 874,946 and 1,349,730

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Solution

The third proportional to 874,946 and 1,349,730 is: 2,082,152.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,946 : 1,349,730 = 1,349,730 : x
  2. Step 2: Convert to fraction form
    874,946/1,349,730 = 1,349,730/x
  3. Step 3: Cross multiply
    874,946x = 1,349,730 × 1,349,730
  4. Step 4: Simplify right side
    874,946x = 1,821,771,072,900
  5. Step 5: Solve for x
    x = 1,821,771,072,900/874,946
  6. Step 6: Final answer
    x = 2,082,152.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.