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Finding the Third Proportional to 1,918,476 and 2,815,506

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Solution

The third proportional to 1,918,476 and 2,815,506 is: 4,131,964.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918,476 : 2,815,506 = 2,815,506 : x
  2. Step 2: Convert to fraction form
    1,918,476/2,815,506 = 2,815,506/x
  3. Step 3: Cross multiply
    1,918,476x = 2,815,506 × 2,815,506
  4. Step 4: Simplify right side
    1,918,476x = 7,927,074,036,036
  5. Step 5: Solve for x
    x = 7,927,074,036,036/1,918,476
  6. Step 6: Final answer
    x = 4,131,964.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.