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Finding the Third Proportional to 740,643 and 1,106,103

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Solution

The third proportional to 740,643 and 1,106,103 is: 1,651,894.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,643 : 1,106,103 = 1,106,103 : x
  2. Step 2: Convert to fraction form
    740,643/1,106,103 = 1,106,103/x
  3. Step 3: Cross multiply
    740,643x = 1,106,103 × 1,106,103
  4. Step 4: Simplify right side
    740,643x = 1,223,463,846,609
  5. Step 5: Solve for x
    x = 1,223,463,846,609/740,643
  6. Step 6: Final answer
    x = 1,651,894.16

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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.