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Finding the Third Proportional to 2,117,166.50 and 4,507,438

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Solution

The third proportional to 2,117,166.50 and 4,507,438 is: 9,596,315.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117,166.50 : 4,507,438 = 4,507,438 : x
  2. Step 2: Convert to fraction form
    2,117,166.50/4,507,438 = 4,507,438/x
  3. Step 3: Cross multiply
    2,117,166.50x = 4,507,438 × 4,507,438
  4. Step 4: Simplify right side
    2,117,166.50x = 20,316,997,323,844
  5. Step 5: Solve for x
    x = 20,316,997,323,844/2,117,166.50
  6. Step 6: Final answer
    x = 9,596,315.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.