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Finding the Third Proportional to 676,064 and 1,435,056

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Solution

The third proportional to 676,064 and 1,435,056 is: 3,046,140.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,064 : 1,435,056 = 1,435,056 : x
  2. Step 2: Convert to fraction form
    676,064/1,435,056 = 1,435,056/x
  3. Step 3: Cross multiply
    676,064x = 1,435,056 × 1,435,056
  4. Step 4: Simplify right side
    676,064x = 2,059,385,723,136
  5. Step 5: Solve for x
    x = 2,059,385,723,136/676,064
  6. Step 6: Final answer
    x = 3,046,140.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.