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Finding the Third Proportional to 1,245,783.38 and 1,781,456.63

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Solution

The third proportional to 1,245,783.38 and 1,781,456.63 is: 2,547,463.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245,783.38 : 1,781,456.63 = 1,781,456.63 : x
  2. Step 2: Convert to fraction form
    1,245,783.38/1,781,456.63 = 1,781,456.63/x
  3. Step 3: Cross multiply
    1,245,783.38x = 1,781,456.63 × 1,781,456.63
  4. Step 4: Simplify right side
    1,245,783.38x = 3,173,587,706,756.39
  5. Step 5: Solve for x
    x = 3,173,587,706,756.39/1,245,783.38
  6. Step 6: Final answer
    x = 2,547,463.52

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.