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Finding the Third Proportional to 809,973 and 1,208,398.50

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Solution

The third proportional to 809,973 and 1,208,398.50 is: 1,802,809.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,973 : 1,208,398.50 = 1,208,398.50 : x
  2. Step 2: Convert to fraction form
    809,973/1,208,398.50 = 1,208,398.50/x
  3. Step 3: Cross multiply
    809,973x = 1,208,398.50 × 1,208,398.50
  4. Step 4: Simplify right side
    809,973x = 1,460,226,934,802.25
  5. Step 5: Solve for x
    x = 1,460,226,934,802.25/809,973
  6. Step 6: Final answer
    x = 1,802,809.40

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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.