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Finding the Third Proportional to 1,849,420 and 2,901,924

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Solution

The third proportional to 1,849,420 and 2,901,924 is: 4,553,407.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849,420 : 2,901,924 = 2,901,924 : x
  2. Step 2: Convert to fraction form
    1,849,420/2,901,924 = 2,901,924/x
  3. Step 3: Cross multiply
    1,849,420x = 2,901,924 × 2,901,924
  4. Step 4: Simplify right side
    1,849,420x = 8,421,162,901,776
  5. Step 5: Solve for x
    x = 8,421,162,901,776/1,849,420
  6. Step 6: Final answer
    x = 4,553,407.50

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.