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Finding the Third Proportional to 610,584 and 934,056

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Solution

The third proportional to 610,584 and 934,056 is: 1,428,895.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,584 : 934,056 = 934,056 : x
  2. Step 2: Convert to fraction form
    610,584/934,056 = 934,056/x
  3. Step 3: Cross multiply
    610,584x = 934,056 × 934,056
  4. Step 4: Simplify right side
    610,584x = 872,460,611,136
  5. Step 5: Solve for x
    x = 872,460,611,136/610,584
  6. Step 6: Final answer
    x = 1,428,895.31

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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.