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Finding the Third Proportional to 668,051 and 1,575,417

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Solution

The third proportional to 668,051 and 1,575,417 is: 3,715,193.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,051 : 1,575,417 = 1,575,417 : x
  2. Step 2: Convert to fraction form
    668,051/1,575,417 = 1,575,417/x
  3. Step 3: Cross multiply
    668,051x = 1,575,417 × 1,575,417
  4. Step 4: Simplify right side
    668,051x = 2,481,938,723,889
  5. Step 5: Solve for x
    x = 2,481,938,723,889/668,051
  6. Step 6: Final answer
    x = 3,715,193.49

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.