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Finding the Third Proportional to 580,946 and 960,056

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Solution

The third proportional to 580,946 and 960,056 is: 1,586,563.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,946 : 960,056 = 960,056 : x
  2. Step 2: Convert to fraction form
    580,946/960,056 = 960,056/x
  3. Step 3: Cross multiply
    580,946x = 960,056 × 960,056
  4. Step 4: Simplify right side
    580,946x = 921,707,523,136
  5. Step 5: Solve for x
    x = 921,707,523,136/580,946
  6. Step 6: Final answer
    x = 1,586,563.16

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.