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Finding the Third Proportional to 657,368 and 939,396

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Solution

The third proportional to 657,368 and 939,396 is: 1,342,421.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,368 : 939,396 = 939,396 : x
  2. Step 2: Convert to fraction form
    657,368/939,396 = 939,396/x
  3. Step 3: Cross multiply
    657,368x = 939,396 × 939,396
  4. Step 4: Simplify right side
    657,368x = 882,464,844,816
  5. Step 5: Solve for x
    x = 882,464,844,816/657,368
  6. Step 6: Final answer
    x = 1,342,421.36

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.