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Finding the Third Proportional to 621,841 and 960,248

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Solution

The third proportional to 621,841 and 960,248 is: 1,482,816.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,841 : 960,248 = 960,248 : x
  2. Step 2: Convert to fraction form
    621,841/960,248 = 960,248/x
  3. Step 3: Cross multiply
    621,841x = 960,248 × 960,248
  4. Step 4: Simplify right side
    621,841x = 922,076,221,504
  5. Step 5: Solve for x
    x = 922,076,221,504/621,841
  6. Step 6: Final answer
    x = 1,482,816.70

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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.