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Finding the Third Proportional to 607,323 and 865,146

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Solution

The third proportional to 607,323 and 865,146 is: 1,232,420.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,323 : 865,146 = 865,146 : x
  2. Step 2: Convert to fraction form
    607,323/865,146 = 865,146/x
  3. Step 3: Cross multiply
    607,323x = 865,146 × 865,146
  4. Step 4: Simplify right side
    607,323x = 748,477,601,316
  5. Step 5: Solve for x
    x = 748,477,601,316/607,323
  6. Step 6: Final answer
    x = 1,232,420.97

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.