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Finding the Third Proportional to 668,972 and 953,633

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Solution

The third proportional to 668,972 and 953,633 is: 1,359,422.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,972 : 953,633 = 953,633 : x
  2. Step 2: Convert to fraction form
    668,972/953,633 = 953,633/x
  3. Step 3: Cross multiply
    668,972x = 953,633 × 953,633
  4. Step 4: Simplify right side
    668,972x = 909,415,898,689
  5. Step 5: Solve for x
    x = 909,415,898,689/668,972
  6. Step 6: Final answer
    x = 1,359,422.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.