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Finding the Third Proportional to 452,070 and 967,056

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Solution

The third proportional to 452,070 and 967,056 is: 2,068,700.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,070 : 967,056 = 967,056 : x
  2. Step 2: Convert to fraction form
    452,070/967,056 = 967,056/x
  3. Step 3: Cross multiply
    452,070x = 967,056 × 967,056
  4. Step 4: Simplify right side
    452,070x = 935,197,307,136
  5. Step 5: Solve for x
    x = 935,197,307,136/452,070
  6. Step 6: Final answer
    x = 2,068,700.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.