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Finding the Third Proportional to 642,528 and 968,544

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Solution

The third proportional to 642,528 and 968,544 is: 1,459,979.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,528 : 968,544 = 968,544 : x
  2. Step 2: Convert to fraction form
    642,528/968,544 = 968,544/x
  3. Step 3: Cross multiply
    642,528x = 968,544 × 968,544
  4. Step 4: Simplify right side
    642,528x = 938,077,479,936
  5. Step 5: Solve for x
    x = 938,077,479,936/642,528
  6. Step 6: Final answer
    x = 1,459,979.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.