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Finding the Third Proportional to 406,432 and 893,312

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Solution

The third proportional to 406,432 and 893,312 is: 1,963,443.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,432 : 893,312 = 893,312 : x
  2. Step 2: Convert to fraction form
    406,432/893,312 = 893,312/x
  3. Step 3: Cross multiply
    406,432x = 893,312 × 893,312
  4. Step 4: Simplify right side
    406,432x = 798,006,329,344
  5. Step 5: Solve for x
    x = 798,006,329,344/406,432
  6. Step 6: Final answer
    x = 1,963,443.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.