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Finding the Third Proportional to 597,160 and 1,249,628

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Solution

The third proportional to 597,160 and 1,249,628 is: 2,614,994.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,160 : 1,249,628 = 1,249,628 : x
  2. Step 2: Convert to fraction form
    597,160/1,249,628 = 1,249,628/x
  3. Step 3: Cross multiply
    597,160x = 1,249,628 × 1,249,628
  4. Step 4: Simplify right side
    597,160x = 1,561,570,138,384
  5. Step 5: Solve for x
    x = 1,561,570,138,384/597,160
  6. Step 6: Final answer
    x = 2,614,994.54

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.