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Finding the Third Proportional to 4,564,120 and 6,526,278

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Solution

The third proportional to 4,564,120 and 6,526,278 is: 9,331,986.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564,120 : 6,526,278 = 6,526,278 : x
  2. Step 2: Convert to fraction form
    4,564,120/6,526,278 = 6,526,278/x
  3. Step 3: Cross multiply
    4,564,120x = 6,526,278 × 6,526,278
  4. Step 4: Simplify right side
    4,564,120x = 42,592,304,533,284
  5. Step 5: Solve for x
    x = 42,592,304,533,284/4,564,120
  6. Step 6: Final answer
    x = 9,331,986.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.