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Finding the Third Proportional to 434,690 and 897,316

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Solution

The third proportional to 434,690 and 897,316 is: 1,852,299.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,690 : 897,316 = 897,316 : x
  2. Step 2: Convert to fraction form
    434,690/897,316 = 897,316/x
  3. Step 3: Cross multiply
    434,690x = 897,316 × 897,316
  4. Step 4: Simplify right side
    434,690x = 805,176,003,856
  5. Step 5: Solve for x
    x = 805,176,003,856/434,690
  6. Step 6: Final answer
    x = 1,852,299.35

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.