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Finding the Third Proportional to 1,428,920 and 3,054,364

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Solution

The third proportional to 1,428,920 and 3,054,364 is: 6,528,804.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428,920 : 3,054,364 = 3,054,364 : x
  2. Step 2: Convert to fraction form
    1,428,920/3,054,364 = 3,054,364/x
  3. Step 3: Cross multiply
    1,428,920x = 3,054,364 × 3,054,364
  4. Step 4: Simplify right side
    1,428,920x = 9,329,139,444,496
  5. Step 5: Solve for x
    x = 9,329,139,444,496/1,428,920
  6. Step 6: Final answer
    x = 6,528,804.58

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.