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Finding the Third Proportional to 1,575,924 and 2,409,624

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Solution

The third proportional to 1,575,924 and 2,409,624 is: 3,684,370.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575,924 : 2,409,624 = 2,409,624 : x
  2. Step 2: Convert to fraction form
    1,575,924/2,409,624 = 2,409,624/x
  3. Step 3: Cross multiply
    1,575,924x = 2,409,624 × 2,409,624
  4. Step 4: Simplify right side
    1,575,924x = 5,806,287,821,376
  5. Step 5: Solve for x
    x = 5,806,287,821,376/1,575,924
  6. Step 6: Final answer
    x = 3,684,370.45

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.