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Finding the Third Proportional to 634,383 and 934,047

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Solution

The third proportional to 634,383 and 934,047 is: 1,375,263.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,383 : 934,047 = 934,047 : x
  2. Step 2: Convert to fraction form
    634,383/934,047 = 934,047/x
  3. Step 3: Cross multiply
    634,383x = 934,047 × 934,047
  4. Step 4: Simplify right side
    634,383x = 872,443,798,209
  5. Step 5: Solve for x
    x = 872,443,798,209/634,383
  6. Step 6: Final answer
    x = 1,375,263.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.