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Finding the Third Proportional to 1,537,764.75 and 3,371,706

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Solution

The third proportional to 1,537,764.75 and 3,371,706 is: 7,392,809.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537,764.75 : 3,371,706 = 3,371,706 : x
  2. Step 2: Convert to fraction form
    1,537,764.75/3,371,706 = 3,371,706/x
  3. Step 3: Cross multiply
    1,537,764.75x = 3,371,706 × 3,371,706
  4. Step 4: Simplify right side
    1,537,764.75x = 11,368,401,350,436
  5. Step 5: Solve for x
    x = 11,368,401,350,436/1,537,764.75
  6. Step 6: Final answer
    x = 7,392,809.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.