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Finding the Third Proportional to 484,586,812 and 1,057,983,316

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Solution

The third proportional to 484,586,812 and 1,057,983,316 is: 2,309,862,070.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,586,812 : 1,057,983,316 = 1,057,983,316 : x
  2. Step 2: Convert to fraction form
    484,586,812/1,057,983,316 = 1,057,983,316/x
  3. Step 3: Cross multiply
    484,586,812x = 1,057,983,316 × 1,057,983,316
  4. Step 4: Simplify right side
    484,586,812x = 1,119,328,696,934,355,840
  5. Step 5: Solve for x
    x = 1,119,328,696,934,355,840/484,586,812
  6. Step 6: Final answer
    x = 2,309,862,070.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.