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Finding the Third Proportional to 458,253 and 1,006,158

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Solution

The third proportional to 458,253 and 1,006,158 is: 2,209,159.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,253 : 1,006,158 = 1,006,158 : x
  2. Step 2: Convert to fraction form
    458,253/1,006,158 = 1,006,158/x
  3. Step 3: Cross multiply
    458,253x = 1,006,158 × 1,006,158
  4. Step 4: Simplify right side
    458,253x = 1,012,353,920,964
  5. Step 5: Solve for x
    x = 1,012,353,920,964/458,253
  6. Step 6: Final answer
    x = 2,209,159.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.