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Finding the Third Proportional to 935,448 and 1,506,540

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Solution

The third proportional to 935,448 and 1,506,540 is: 2,426,284.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,448 : 1,506,540 = 1,506,540 : x
  2. Step 2: Convert to fraction form
    935,448/1,506,540 = 1,506,540/x
  3. Step 3: Cross multiply
    935,448x = 1,506,540 × 1,506,540
  4. Step 4: Simplify right side
    935,448x = 2,269,662,771,600
  5. Step 5: Solve for x
    x = 2,269,662,771,600/935,448
  6. Step 6: Final answer
    x = 2,426,284.27

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.