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Finding the Third Proportional to 683,502 and 1,019,709

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Solution

The third proportional to 683,502 and 1,019,709 is: 1,521,292.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,502 : 1,019,709 = 1,019,709 : x
  2. Step 2: Convert to fraction form
    683,502/1,019,709 = 1,019,709/x
  3. Step 3: Cross multiply
    683,502x = 1,019,709 × 1,019,709
  4. Step 4: Simplify right side
    683,502x = 1,039,806,444,681
  5. Step 5: Solve for x
    x = 1,039,806,444,681/683,502
  6. Step 6: Final answer
    x = 1,521,292.47

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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.