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Finding the Third Proportional to 736,710 and 1,137,609

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Solution

The third proportional to 736,710 and 1,137,609 is: 1,756,667.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,710 : 1,137,609 = 1,137,609 : x
  2. Step 2: Convert to fraction form
    736,710/1,137,609 = 1,137,609/x
  3. Step 3: Cross multiply
    736,710x = 1,137,609 × 1,137,609
  4. Step 4: Simplify right side
    736,710x = 1,294,154,236,881
  5. Step 5: Solve for x
    x = 1,294,154,236,881/736,710
  6. Step 6: Final answer
    x = 1,756,667.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.