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Finding the Third Proportional to 670,752 and 997,011

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Solution

The third proportional to 670,752 and 997,011 is: 1,481,964.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,752 : 997,011 = 997,011 : x
  2. Step 2: Convert to fraction form
    670,752/997,011 = 997,011/x
  3. Step 3: Cross multiply
    670,752x = 997,011 × 997,011
  4. Step 4: Simplify right side
    670,752x = 994,030,934,121
  5. Step 5: Solve for x
    x = 994,030,934,121/670,752
  6. Step 6: Final answer
    x = 1,481,964.92

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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.