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Finding the Third Proportional to 2,106,401.20 and 4,537,264.36

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Solution

The third proportional to 2,106,401.20 and 4,537,264.36 is: 9,773,431.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106,401.20 : 4,537,264.36 = 4,537,264.36 : x
  2. Step 2: Convert to fraction form
    2,106,401.20/4,537,264.36 = 4,537,264.36/x
  3. Step 3: Cross multiply
    2,106,401.20x = 4,537,264.36 × 4,537,264.36
  4. Step 4: Simplify right side
    2,106,401.20x = 20,586,767,866,854.63
  5. Step 5: Solve for x
    x = 20,586,767,866,854.63/2,106,401.20
  6. Step 6: Final answer
    x = 9,773,431.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.