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Finding the Third Proportional to 524,243,964 and 813,988,665

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Solution

The third proportional to 524,243,964 and 813,988,665 is: 1,263,872,533.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,243,964 : 813,988,665 = 813,988,665 : x
  2. Step 2: Convert to fraction form
    524,243,964/813,988,665 = 813,988,665/x
  3. Step 3: Cross multiply
    524,243,964x = 813,988,665 × 813,988,665
  4. Step 4: Simplify right side
    524,243,964x = 662,577,546,748,482,176
  5. Step 5: Solve for x
    x = 662,577,546,748,482,176/524,243,964
  6. Step 6: Final answer
    x = 1,263,872,533.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.