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Finding the Third Proportional to 698,016 and 1,506,576

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Solution

The third proportional to 698,016 and 1,506,576 is: 3,251,746.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,016 : 1,506,576 = 1,506,576 : x
  2. Step 2: Convert to fraction form
    698,016/1,506,576 = 1,506,576/x
  3. Step 3: Cross multiply
    698,016x = 1,506,576 × 1,506,576
  4. Step 4: Simplify right side
    698,016x = 2,269,771,243,776
  5. Step 5: Solve for x
    x = 2,269,771,243,776/698,016
  6. Step 6: Final answer
    x = 3,251,746.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.