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Finding the Third Proportional to 653,014 and 1,009,073

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Solution

The third proportional to 653,014 and 1,009,073 is: 1,559,274.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,014 : 1,009,073 = 1,009,073 : x
  2. Step 2: Convert to fraction form
    653,014/1,009,073 = 1,009,073/x
  3. Step 3: Cross multiply
    653,014x = 1,009,073 × 1,009,073
  4. Step 4: Simplify right side
    653,014x = 1,018,228,319,329
  5. Step 5: Solve for x
    x = 1,018,228,319,329/653,014
  6. Step 6: Final answer
    x = 1,559,274.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.