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Finding the Third Proportional to 2,947,386 and 4,686,804

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Solution

The third proportional to 2,947,386 and 4,686,804 is: 7,452,750.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947,386 : 4,686,804 = 4,686,804 : x
  2. Step 2: Convert to fraction form
    2,947,386/4,686,804 = 4,686,804/x
  3. Step 3: Cross multiply
    2,947,386x = 4,686,804 × 4,686,804
  4. Step 4: Simplify right side
    2,947,386x = 21,966,131,734,416
  5. Step 5: Solve for x
    x = 21,966,131,734,416/2,947,386
  6. Step 6: Final answer
    x = 7,452,750.25

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.