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Finding the Third Proportional to 699,120 and 1,497,888

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Solution

The third proportional to 699,120 and 1,497,888 is: 3,209,275.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,120 : 1,497,888 = 1,497,888 : x
  2. Step 2: Convert to fraction form
    699,120/1,497,888 = 1,497,888/x
  3. Step 3: Cross multiply
    699,120x = 1,497,888 × 1,497,888
  4. Step 4: Simplify right side
    699,120x = 2,243,668,460,544
  5. Step 5: Solve for x
    x = 2,243,668,460,544/699,120
  6. Step 6: Final answer
    x = 3,209,275.18

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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.