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Finding the Third Proportional to 634,964 and 972,674

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Solution

The third proportional to 634,964 and 972,674 is: 1,489,997.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,964 : 972,674 = 972,674 : x
  2. Step 2: Convert to fraction form
    634,964/972,674 = 972,674/x
  3. Step 3: Cross multiply
    634,964x = 972,674 × 972,674
  4. Step 4: Simplify right side
    634,964x = 946,094,710,276
  5. Step 5: Solve for x
    x = 946,094,710,276/634,964
  6. Step 6: Final answer
    x = 1,489,997.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.