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Finding the Third Proportional to 699,111 and 1,497,933

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Solution

The third proportional to 699,111 and 1,497,933 is: 3,209,509.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,111 : 1,497,933 = 1,497,933 : x
  2. Step 2: Convert to fraction form
    699,111/1,497,933 = 1,497,933/x
  3. Step 3: Cross multiply
    699,111x = 1,497,933 × 1,497,933
  4. Step 4: Simplify right side
    699,111x = 2,243,803,272,489
  5. Step 5: Solve for x
    x = 2,243,803,272,489/699,111
  6. Step 6: Final answer
    x = 3,209,509.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.