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Finding the Third Proportional to 1,157,004 and 2,513,018.25

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Solution

The third proportional to 1,157,004 and 2,513,018.25 is: 5,458,287.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157,004 : 2,513,018.25 = 2,513,018.25 : x
  2. Step 2: Convert to fraction form
    1,157,004/2,513,018.25 = 2,513,018.25/x
  3. Step 3: Cross multiply
    1,157,004x = 2,513,018.25 × 2,513,018.25
  4. Step 4: Simplify right side
    1,157,004x = 6,315,260,724,833.06
  5. Step 5: Solve for x
    x = 6,315,260,724,833.06/1,157,004
  6. Step 6: Final answer
    x = 5,458,287.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.