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Finding the Third Proportional to 463,050 and 1,014,646.50

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Solution

The third proportional to 463,050 and 1,014,646.50 is: 2,223,318.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,050 : 1,014,646.50 = 1,014,646.50 : x
  2. Step 2: Convert to fraction form
    463,050/1,014,646.50 = 1,014,646.50/x
  3. Step 3: Cross multiply
    463,050x = 1,014,646.50 × 1,014,646.50
  4. Step 4: Simplify right side
    463,050x = 1,029,507,519,962.25
  5. Step 5: Solve for x
    x = 1,029,507,519,962.25/463,050
  6. Step 6: Final answer
    x = 2,223,318.26

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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.