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Finding the Third Proportional to 3,402,324 and 5,390,047.13

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Solution

The third proportional to 3,402,324 and 5,390,047.13 is: 8,539,048.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402,324 : 5,390,047.13 = 5,390,047.13 : x
  2. Step 2: Convert to fraction form
    3,402,324/5,390,047.13 = 5,390,047.13/x
  3. Step 3: Cross multiply
    3,402,324x = 5,390,047.13 × 5,390,047.13
  4. Step 4: Simplify right side
    3,402,324x = 29,052,608,009,720.77
  5. Step 5: Solve for x
    x = 29,052,608,009,720.77/3,402,324
  6. Step 6: Final answer
    x = 8,539,048.02

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.