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Finding the Third Proportional to 1,574,160 and 2,299,275

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Solution

The third proportional to 1,574,160 and 2,299,275 is: 3,358,404.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574,160 : 2,299,275 = 2,299,275 : x
  2. Step 2: Convert to fraction form
    1,574,160/2,299,275 = 2,299,275/x
  3. Step 3: Cross multiply
    1,574,160x = 2,299,275 × 2,299,275
  4. Step 4: Simplify right side
    1,574,160x = 5,286,665,525,625
  5. Step 5: Solve for x
    x = 5,286,665,525,625/1,574,160
  6. Step 6: Final answer
    x = 3,358,404.18

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.