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Finding the Third Proportional to 632,506 and 1,355,408

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Solution

The third proportional to 632,506 and 1,355,408 is: 2,904,527.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,506 : 1,355,408 = 1,355,408 : x
  2. Step 2: Convert to fraction form
    632,506/1,355,408 = 1,355,408/x
  3. Step 3: Cross multiply
    632,506x = 1,355,408 × 1,355,408
  4. Step 4: Simplify right side
    632,506x = 1,837,130,846,464
  5. Step 5: Solve for x
    x = 1,837,130,846,464/632,506
  6. Step 6: Final answer
    x = 2,904,527.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.