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Finding the Third Proportional to 1,596,306 and 2,478,403

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Solution

The third proportional to 1,596,306 and 2,478,403 is: 3,847,934.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596,306 : 2,478,403 = 2,478,403 : x
  2. Step 2: Convert to fraction form
    1,596,306/2,478,403 = 2,478,403/x
  3. Step 3: Cross multiply
    1,596,306x = 2,478,403 × 2,478,403
  4. Step 4: Simplify right side
    1,596,306x = 6,142,481,430,409
  5. Step 5: Solve for x
    x = 6,142,481,430,409/1,596,306
  6. Step 6: Final answer
    x = 3,847,934.81

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.