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Finding the Third Proportional to 1,574,283 and 3,367,416

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Solution

The third proportional to 1,574,283 and 3,367,416 is: 7,202,955.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574,283 : 3,367,416 = 3,367,416 : x
  2. Step 2: Convert to fraction form
    1,574,283/3,367,416 = 3,367,416/x
  3. Step 3: Cross multiply
    1,574,283x = 3,367,416 × 3,367,416
  4. Step 4: Simplify right side
    1,574,283x = 11,339,490,517,056
  5. Step 5: Solve for x
    x = 11,339,490,517,056/1,574,283
  6. Step 6: Final answer
    x = 7,202,955.58

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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.