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Finding the Third Proportional to 1,857,854 and 2,779,869

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Solution

The third proportional to 1,857,854 and 2,779,869 is: 4,159,461.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857,854 : 2,779,869 = 2,779,869 : x
  2. Step 2: Convert to fraction form
    1,857,854/2,779,869 = 2,779,869/x
  3. Step 3: Cross multiply
    1,857,854x = 2,779,869 × 2,779,869
  4. Step 4: Simplify right side
    1,857,854x = 7,727,671,657,161
  5. Step 5: Solve for x
    x = 7,727,671,657,161/1,857,854
  6. Step 6: Final answer
    x = 4,159,461.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.