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Finding the Third Proportional to 670,707 and 1,014,732

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Solution

The third proportional to 670,707 and 1,014,732 is: 1,535,217.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,707 : 1,014,732 = 1,014,732 : x
  2. Step 2: Convert to fraction form
    670,707/1,014,732 = 1,014,732/x
  3. Step 3: Cross multiply
    670,707x = 1,014,732 × 1,014,732
  4. Step 4: Simplify right side
    670,707x = 1,029,681,031,824
  5. Step 5: Solve for x
    x = 1,029,681,031,824/670,707
  6. Step 6: Final answer
    x = 1,535,217.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.