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Finding the Third Proportional to 907,983 and 1,272,511

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Solution

The third proportional to 907,983 and 1,272,511 is: 1,783,386.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,983 : 1,272,511 = 1,272,511 : x
  2. Step 2: Convert to fraction form
    907,983/1,272,511 = 1,272,511/x
  3. Step 3: Cross multiply
    907,983x = 1,272,511 × 1,272,511
  4. Step 4: Simplify right side
    907,983x = 1,619,284,245,121
  5. Step 5: Solve for x
    x = 1,619,284,245,121/907,983
  6. Step 6: Final answer
    x = 1,783,386.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.