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Finding the Third Proportional to 1,568,904.19 and 2,424,312.28

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Solution

The third proportional to 1,568,904.19 and 2,424,312.28 is: 3,746,111.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568,904.19 : 2,424,312.28 = 2,424,312.28 : x
  2. Step 2: Convert to fraction form
    1,568,904.19/2,424,312.28 = 2,424,312.28/x
  3. Step 3: Cross multiply
    1,568,904.19x = 2,424,312.28 × 2,424,312.28
  4. Step 4: Simplify right side
    1,568,904.19x = 5,877,290,037,019.58
  5. Step 5: Solve for x
    x = 5,877,290,037,019.58/1,568,904.19
  6. Step 6: Final answer
    x = 3,746,111.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.