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Finding the Third Proportional to 736,490 and 1,613,560

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Solution

The third proportional to 736,490 and 1,613,560 is: 3,535,113.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,490 : 1,613,560 = 1,613,560 : x
  2. Step 2: Convert to fraction form
    736,490/1,613,560 = 1,613,560/x
  3. Step 3: Cross multiply
    736,490x = 1,613,560 × 1,613,560
  4. Step 4: Simplify right side
    736,490x = 2,603,575,873,600
  5. Step 5: Solve for x
    x = 2,603,575,873,600/736,490
  6. Step 6: Final answer
    x = 3,535,113.68

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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.