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Finding the Third Proportional to 631,746 and 947,307

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Solution

The third proportional to 631,746 and 947,307 is: 1,420,492.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,746 : 947,307 = 947,307 : x
  2. Step 2: Convert to fraction form
    631,746/947,307 = 947,307/x
  3. Step 3: Cross multiply
    631,746x = 947,307 × 947,307
  4. Step 4: Simplify right side
    631,746x = 897,390,552,249
  5. Step 5: Solve for x
    x = 897,390,552,249/631,746
  6. Step 6: Final answer
    x = 1,420,492.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.