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Finding the Third Proportional to 1,575,963 and 2,409,696

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Solution

The third proportional to 1,575,963 and 2,409,696 is: 3,684,499.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575,963 : 2,409,696 = 2,409,696 : x
  2. Step 2: Convert to fraction form
    1,575,963/2,409,696 = 2,409,696/x
  3. Step 3: Cross multiply
    1,575,963x = 2,409,696 × 2,409,696
  4. Step 4: Simplify right side
    1,575,963x = 5,806,634,812,416
  5. Step 5: Solve for x
    x = 5,806,634,812,416/1,575,963
  6. Step 6: Final answer
    x = 3,684,499.45

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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.