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Finding the Third Proportional to 1,189,898.86 and 2,569,144.08

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Solution

The third proportional to 1,189,898.86 and 2,569,144.08 is: 5,547,111.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189,898.86 : 2,569,144.08 = 2,569,144.08 : x
  2. Step 2: Convert to fraction form
    1,189,898.86/2,569,144.08 = 2,569,144.08/x
  3. Step 3: Cross multiply
    1,189,898.86x = 2,569,144.08 × 2,569,144.08
  4. Step 4: Simplify right side
    1,189,898.86x = 6,600,501,294,164.76
  5. Step 5: Solve for x
    x = 6,600,501,294,164.76/1,189,898.86
  6. Step 6: Final answer
    x = 5,547,111.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.