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Finding the Third Proportional to 646,765 and 1,360,567.50

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Solution

The third proportional to 646,765 and 1,360,567.50 is: 2,862,158.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,765 : 1,360,567.50 = 1,360,567.50 : x
  2. Step 2: Convert to fraction form
    646,765/1,360,567.50 = 1,360,567.50/x
  3. Step 3: Cross multiply
    646,765x = 1,360,567.50 × 1,360,567.50
  4. Step 4: Simplify right side
    646,765x = 1,851,143,922,056.25
  5. Step 5: Solve for x
    x = 1,851,143,922,056.25/646,765
  6. Step 6: Final answer
    x = 2,862,158.47

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.