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Finding the Third Proportional to 670,564 and 1,437,007

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Solution

The third proportional to 670,564 and 1,437,007 is: 3,079,481.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,564 : 1,437,007 = 1,437,007 : x
  2. Step 2: Convert to fraction form
    670,564/1,437,007 = 1,437,007/x
  3. Step 3: Cross multiply
    670,564x = 1,437,007 × 1,437,007
  4. Step 4: Simplify right side
    670,564x = 2,064,989,118,049
  5. Step 5: Solve for x
    x = 2,064,989,118,049/670,564
  6. Step 6: Final answer
    x = 3,079,481.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.