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Finding the Third Proportional to 688,306 and 1,476,260

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Solution

The third proportional to 688,306 and 1,476,260 is: 3,166,242.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,306 : 1,476,260 = 1,476,260 : x
  2. Step 2: Convert to fraction form
    688,306/1,476,260 = 1,476,260/x
  3. Step 3: Cross multiply
    688,306x = 1,476,260 × 1,476,260
  4. Step 4: Simplify right side
    688,306x = 2,179,343,587,600
  5. Step 5: Solve for x
    x = 2,179,343,587,600/688,306
  6. Step 6: Final answer
    x = 3,166,242.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.