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Finding the Third Proportional to 1,849,710 and 2,905,690.50

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Solution

The third proportional to 1,849,710 and 2,905,690.50 is: 4,564,519.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849,710 : 2,905,690.50 = 2,905,690.50 : x
  2. Step 2: Convert to fraction form
    1,849,710/2,905,690.50 = 2,905,690.50/x
  3. Step 3: Cross multiply
    1,849,710x = 2,905,690.50 × 2,905,690.50
  4. Step 4: Simplify right side
    1,849,710x = 8,443,037,281,790.25
  5. Step 5: Solve for x
    x = 8,443,037,281,790.25/1,849,710
  6. Step 6: Final answer
    x = 4,564,519.46

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Why These Related Problems?

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