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Finding the Third Proportional to 870,567.75 and 1,896,549.75

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Solution

The third proportional to 870,567.75 and 1,896,549.75 is: 4,131,672.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,567.75 : 1,896,549.75 = 1,896,549.75 : x
  2. Step 2: Convert to fraction form
    870,567.75/1,896,549.75 = 1,896,549.75/x
  3. Step 3: Cross multiply
    870,567.75x = 1,896,549.75 × 1,896,549.75
  4. Step 4: Simplify right side
    870,567.75x = 3,596,900,954,225.06
  5. Step 5: Solve for x
    x = 3,596,900,954,225.06/870,567.75
  6. Step 6: Final answer
    x = 4,131,672.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.