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Finding the Third Proportional to 1,316,637 and 1,966,342.50

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Solution

The third proportional to 1,316,637 and 1,966,342.50 is: 2,936,650.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316,637 : 1,966,342.50 = 1,966,342.50 : x
  2. Step 2: Convert to fraction form
    1,316,637/1,966,342.50 = 1,966,342.50/x
  3. Step 3: Cross multiply
    1,316,637x = 1,966,342.50 × 1,966,342.50
  4. Step 4: Simplify right side
    1,316,637x = 3,866,502,827,306.25
  5. Step 5: Solve for x
    x = 3,866,502,827,306.25/1,316,637
  6. Step 6: Final answer
    x = 2,936,650.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.