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Finding the Third Proportional to 445,176 and 912,222

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Solution

The third proportional to 445,176 and 912,222 is: 1,869,258.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,176 : 912,222 = 912,222 : x
  2. Step 2: Convert to fraction form
    445,176/912,222 = 912,222/x
  3. Step 3: Cross multiply
    445,176x = 912,222 × 912,222
  4. Step 4: Simplify right side
    445,176x = 832,148,977,284
  5. Step 5: Solve for x
    x = 832,148,977,284/445,176
  6. Step 6: Final answer
    x = 1,869,258.40

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.