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Finding the Third Proportional to 1,034,624 and 1,596,216

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Solution

The third proportional to 1,034,624 and 1,596,216 is: 2,462,639.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034,624 : 1,596,216 = 1,596,216 : x
  2. Step 2: Convert to fraction form
    1,034,624/1,596,216 = 1,596,216/x
  3. Step 3: Cross multiply
    1,034,624x = 1,596,216 × 1,596,216
  4. Step 4: Simplify right side
    1,034,624x = 2,547,905,518,656
  5. Step 5: Solve for x
    x = 2,547,905,518,656/1,034,624
  6. Step 6: Final answer
    x = 2,462,639.10

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.