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Finding the Third Proportional to 406,397 and 893,237

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Solution

The third proportional to 406,397 and 893,237 is: 1,963,283.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,397 : 893,237 = 893,237 : x
  2. Step 2: Convert to fraction form
    406,397/893,237 = 893,237/x
  3. Step 3: Cross multiply
    406,397x = 893,237 × 893,237
  4. Step 4: Simplify right side
    406,397x = 797,872,338,169
  5. Step 5: Solve for x
    x = 797,872,338,169/406,397
  6. Step 6: Final answer
    x = 1,963,283.04

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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.