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Finding the Third Proportional to 736,590 and 1,613,712

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Solution

The third proportional to 736,590 and 1,613,712 is: 3,535,299.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,590 : 1,613,712 = 1,613,712 : x
  2. Step 2: Convert to fraction form
    736,590/1,613,712 = 1,613,712/x
  3. Step 3: Cross multiply
    736,590x = 1,613,712 × 1,613,712
  4. Step 4: Simplify right side
    736,590x = 2,604,066,418,944
  5. Step 5: Solve for x
    x = 2,604,066,418,944/736,590
  6. Step 6: Final answer
    x = 3,535,299.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.