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Finding the Third Proportional to 651,998 and 1,374,796

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Solution

The third proportional to 651,998 and 1,374,796 is: 2,898,880.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,998 : 1,374,796 = 1,374,796 : x
  2. Step 2: Convert to fraction form
    651,998/1,374,796 = 1,374,796/x
  3. Step 3: Cross multiply
    651,998x = 1,374,796 × 1,374,796
  4. Step 4: Simplify right side
    651,998x = 1,890,064,041,616
  5. Step 5: Solve for x
    x = 1,890,064,041,616/651,998
  6. Step 6: Final answer
    x = 2,898,880.12

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.