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Finding the Third Proportional to 2,483,654 and 3,643,688

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Solution

The third proportional to 2,483,654 and 3,643,688 is: 5,345,536.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483,654 : 3,643,688 = 3,643,688 : x
  2. Step 2: Convert to fraction form
    2,483,654/3,643,688 = 3,643,688/x
  3. Step 3: Cross multiply
    2,483,654x = 3,643,688 × 3,643,688
  4. Step 4: Simplify right side
    2,483,654x = 13,276,462,241,344
  5. Step 5: Solve for x
    x = 13,276,462,241,344/2,483,654
  6. Step 6: Final answer
    x = 5,345,536.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.