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Finding the Third Proportional to 685,297 and 1,472,654

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Solution

The third proportional to 685,297 and 1,472,654 is: 3,164,627.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,297 : 1,472,654 = 1,472,654 : x
  2. Step 2: Convert to fraction form
    685,297/1,472,654 = 1,472,654/x
  3. Step 3: Cross multiply
    685,297x = 1,472,654 × 1,472,654
  4. Step 4: Simplify right side
    685,297x = 2,168,709,803,716
  5. Step 5: Solve for x
    x = 2,168,709,803,716/685,297
  6. Step 6: Final answer
    x = 3,164,627.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.