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Finding the Third Proportional to 1,368,498 and 1,971,271.50

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Solution

The third proportional to 1,368,498 and 1,971,271.50 is: 2,839,544.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368,498 : 1,971,271.50 = 1,971,271.50 : x
  2. Step 2: Convert to fraction form
    1,368,498/1,971,271.50 = 1,971,271.50/x
  3. Step 3: Cross multiply
    1,368,498x = 1,971,271.50 × 1,971,271.50
  4. Step 4: Simplify right side
    1,368,498x = 3,885,911,326,712.25
  5. Step 5: Solve for x
    x = 3,885,911,326,712.25/1,368,498
  6. Step 6: Final answer
    x = 2,839,544.76

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.