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Finding the Third Proportional to 657,070 and 960,659

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Solution

The third proportional to 657,070 and 960,659 is: 1,404,516.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,070 : 960,659 = 960,659 : x
  2. Step 2: Convert to fraction form
    657,070/960,659 = 960,659/x
  3. Step 3: Cross multiply
    657,070x = 960,659 × 960,659
  4. Step 4: Simplify right side
    657,070x = 922,865,714,281
  5. Step 5: Solve for x
    x = 922,865,714,281/657,070
  6. Step 6: Final answer
    x = 1,404,516.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.