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Finding the Third Proportional to 684,726 and 1,001,732

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Solution

The third proportional to 684,726 and 1,001,732 is: 1,465,501.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,726 : 1,001,732 = 1,001,732 : x
  2. Step 2: Convert to fraction form
    684,726/1,001,732 = 1,001,732/x
  3. Step 3: Cross multiply
    684,726x = 1,001,732 × 1,001,732
  4. Step 4: Simplify right side
    684,726x = 1,003,466,999,824
  5. Step 5: Solve for x
    x = 1,003,466,999,824/684,726
  6. Step 6: Final answer
    x = 1,465,501.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.