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Finding the Third Proportional to 1,596,416 and 2,478,572

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Solution

The third proportional to 1,596,416 and 2,478,572 is: 3,848,194.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596,416 : 2,478,572 = 2,478,572 : x
  2. Step 2: Convert to fraction form
    1,596,416/2,478,572 = 2,478,572/x
  3. Step 3: Cross multiply
    1,596,416x = 2,478,572 × 2,478,572
  4. Step 4: Simplify right side
    1,596,416x = 6,143,319,159,184
  5. Step 5: Solve for x
    x = 6,143,319,159,184/1,596,416
  6. Step 6: Final answer
    x = 3,848,194.43

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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.