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Finding the Third Proportional to 1,335,963.38 and 2,803,136.63

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Solution

The third proportional to 1,335,963.38 and 2,803,136.63 is: 5,881,579.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335,963.38 : 2,803,136.63 = 2,803,136.63 : x
  2. Step 2: Convert to fraction form
    1,335,963.38/2,803,136.63 = 2,803,136.63/x
  3. Step 3: Cross multiply
    1,335,963.38x = 2,803,136.63 × 2,803,136.63
  4. Step 4: Simplify right side
    1,335,963.38x = 7,857,574,938,416.39
  5. Step 5: Solve for x
    x = 7,857,574,938,416.39/1,335,963.38
  6. Step 6: Final answer
    x = 5,881,579.60

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.