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Finding the Third Proportional to 653,973 and 887,646

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Solution

The third proportional to 653,973 and 887,646 is: 1,204,813.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,973 : 887,646 = 887,646 : x
  2. Step 2: Convert to fraction form
    653,973/887,646 = 887,646/x
  3. Step 3: Cross multiply
    653,973x = 887,646 × 887,646
  4. Step 4: Simplify right side
    653,973x = 787,915,421,316
  5. Step 5: Solve for x
    x = 787,915,421,316/653,973
  6. Step 6: Final answer
    x = 1,204,813.38

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.