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Finding the Third Proportional to 1,164,901.50 and 2,547,774

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Solution

The third proportional to 1,164,901.50 and 2,547,774 is: 5,572,275.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164,901.50 : 2,547,774 = 2,547,774 : x
  2. Step 2: Convert to fraction form
    1,164,901.50/2,547,774 = 2,547,774/x
  3. Step 3: Cross multiply
    1,164,901.50x = 2,547,774 × 2,547,774
  4. Step 4: Simplify right side
    1,164,901.50x = 6,491,152,355,076
  5. Step 5: Solve for x
    x = 6,491,152,355,076/1,164,901.50
  6. Step 6: Final answer
    x = 5,572,275.73

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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.