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Finding the Third Proportional to 607,257 and 907,539

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Solution

The third proportional to 607,257 and 907,539 is: 1,356,307.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,257 : 907,539 = 907,539 : x
  2. Step 2: Convert to fraction form
    607,257/907,539 = 907,539/x
  3. Step 3: Cross multiply
    607,257x = 907,539 × 907,539
  4. Step 4: Simplify right side
    607,257x = 823,627,036,521
  5. Step 5: Solve for x
    x = 823,627,036,521/607,257
  6. Step 6: Final answer
    x = 1,356,307.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.