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Finding the Third Proportional to 579,547 and 1,262,056

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Solution

The third proportional to 579,547 and 1,262,056 is: 2,748,328.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,547 : 1,262,056 = 1,262,056 : x
  2. Step 2: Convert to fraction form
    579,547/1,262,056 = 1,262,056/x
  3. Step 3: Cross multiply
    579,547x = 1,262,056 × 1,262,056
  4. Step 4: Simplify right side
    579,547x = 1,592,785,347,136
  5. Step 5: Solve for x
    x = 1,592,785,347,136/579,547
  6. Step 6: Final answer
    x = 2,748,328.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.