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Finding the Third Proportional to 3,434,040 and 7,459,056

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Solution

The third proportional to 3,434,040 and 7,459,056 is: 16,201,767.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434,040 : 7,459,056 = 7,459,056 : x
  2. Step 2: Convert to fraction form
    3,434,040/7,459,056 = 7,459,056/x
  3. Step 3: Cross multiply
    3,434,040x = 7,459,056 × 7,459,056
  4. Step 4: Simplify right side
    3,434,040x = 55,637,516,411,136
  5. Step 5: Solve for x
    x = 55,637,516,411,136/3,434,040
  6. Step 6: Final answer
    x = 16,201,767.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.