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Finding the Third Proportional to 897,176 and 1,332,804

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Solution

The third proportional to 897,176 and 1,332,804 is: 1,979,953.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,176 : 1,332,804 = 1,332,804 : x
  2. Step 2: Convert to fraction form
    897,176/1,332,804 = 1,332,804/x
  3. Step 3: Cross multiply
    897,176x = 1,332,804 × 1,332,804
  4. Step 4: Simplify right side
    897,176x = 1,776,366,502,416
  5. Step 5: Solve for x
    x = 1,776,366,502,416/897,176
  6. Step 6: Final answer
    x = 1,979,953.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.