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Finding the Third Proportional to 668,980 and 953,646

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Solution

The third proportional to 668,980 and 953,646 is: 1,359,443.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,980 : 953,646 = 953,646 : x
  2. Step 2: Convert to fraction form
    668,980/953,646 = 953,646/x
  3. Step 3: Cross multiply
    668,980x = 953,646 × 953,646
  4. Step 4: Simplify right side
    668,980x = 909,440,693,316
  5. Step 5: Solve for x
    x = 909,440,693,316/668,980
  6. Step 6: Final answer
    x = 1,359,443.77

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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.