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Finding the Third Proportional to 1,547,923.50 and 3,283,173

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Solution

The third proportional to 1,547,923.50 and 3,283,173 is: 6,963,667.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547,923.50 : 3,283,173 = 3,283,173 : x
  2. Step 2: Convert to fraction form
    1,547,923.50/3,283,173 = 3,283,173/x
  3. Step 3: Cross multiply
    1,547,923.50x = 3,283,173 × 3,283,173
  4. Step 4: Simplify right side
    1,547,923.50x = 10,779,224,947,929
  5. Step 5: Solve for x
    x = 10,779,224,947,929/1,547,923.50
  6. Step 6: Final answer
    x = 6,963,667.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.