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Finding the Third Proportional to 1,100,263.50 and 1,683,088.88

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Solution

The third proportional to 1,100,263.50 and 1,683,088.88 is: 2,574,645.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100,263.50 : 1,683,088.88 = 1,683,088.88 : x
  2. Step 2: Convert to fraction form
    1,100,263.50/1,683,088.88 = 1,683,088.88/x
  3. Step 3: Cross multiply
    1,100,263.50x = 1,683,088.88 × 1,683,088.88
  4. Step 4: Simplify right side
    1,100,263.50x = 2,832,788,161,148.77
  5. Step 5: Solve for x
    x = 2,832,788,161,148.77/1,100,263.50
  6. Step 6: Final answer
    x = 2,574,645.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.