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Finding the Third Proportional to 1,036,216 and 1,598,547

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Solution

The third proportional to 1,036,216 and 1,598,547 is: 2,466,042.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036,216 : 1,598,547 = 1,598,547 : x
  2. Step 2: Convert to fraction form
    1,036,216/1,598,547 = 1,598,547/x
  3. Step 3: Cross multiply
    1,036,216x = 1,598,547 × 1,598,547
  4. Step 4: Simplify right side
    1,036,216x = 2,555,352,511,209
  5. Step 5: Solve for x
    x = 2,555,352,511,209/1,036,216
  6. Step 6: Final answer
    x = 2,466,042.32

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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.