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Finding the Third Proportional to 748,228.64 and 1,636,210.13

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Solution

The third proportional to 748,228.64 and 1,636,210.13 is: 3,578,028.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,228.64 : 1,636,210.13 = 1,636,210.13 : x
  2. Step 2: Convert to fraction form
    748,228.64/1,636,210.13 = 1,636,210.13/x
  3. Step 3: Cross multiply
    748,228.64x = 1,636,210.13 × 1,636,210.13
  4. Step 4: Simplify right side
    748,228.64x = 2,677,183,573,152.52
  5. Step 5: Solve for x
    x = 2,677,183,573,152.52/748,228.64
  6. Step 6: Final answer
    x = 3,578,028.73

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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.