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Finding the Third Proportional to 651,030 and 1,426,188

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Solution

The third proportional to 651,030 and 1,426,188 is: 3,124,298.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,030 : 1,426,188 = 1,426,188 : x
  2. Step 2: Convert to fraction form
    651,030/1,426,188 = 1,426,188/x
  3. Step 3: Cross multiply
    651,030x = 1,426,188 × 1,426,188
  4. Step 4: Simplify right side
    651,030x = 2,034,012,211,344
  5. Step 5: Solve for x
    x = 2,034,012,211,344/651,030
  6. Step 6: Final answer
    x = 3,124,298.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.