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Finding the Third Proportional to 635,402 and 1,374,050

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Solution

The third proportional to 635,402 and 1,374,050 is: 2,971,368.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,402 : 1,374,050 = 1,374,050 : x
  2. Step 2: Convert to fraction form
    635,402/1,374,050 = 1,374,050/x
  3. Step 3: Cross multiply
    635,402x = 1,374,050 × 1,374,050
  4. Step 4: Simplify right side
    635,402x = 1,888,013,402,500
  5. Step 5: Solve for x
    x = 1,888,013,402,500/635,402
  6. Step 6: Final answer
    x = 2,971,368.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.