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Finding the Third Proportional to 406,402 and 893,248

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Solution

The third proportional to 406,402 and 893,248 is: 1,963,307.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,402 : 893,248 = 893,248 : x
  2. Step 2: Convert to fraction form
    406,402/893,248 = 893,248/x
  3. Step 3: Cross multiply
    406,402x = 893,248 × 893,248
  4. Step 4: Simplify right side
    406,402x = 797,891,989,504
  5. Step 5: Solve for x
    x = 797,891,989,504/406,402
  6. Step 6: Final answer
    x = 1,963,307.24

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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.