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Finding the Third Proportional to 670,703 and 1,014,726

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Solution

The third proportional to 670,703 and 1,014,726 is: 1,535,208.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,703 : 1,014,726 = 1,014,726 : x
  2. Step 2: Convert to fraction form
    670,703/1,014,726 = 1,014,726/x
  3. Step 3: Cross multiply
    670,703x = 1,014,726 × 1,014,726
  4. Step 4: Simplify right side
    670,703x = 1,029,668,855,076
  5. Step 5: Solve for x
    x = 1,029,668,855,076/670,703
  6. Step 6: Final answer
    x = 1,535,208.36

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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.