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Finding the Third Proportional to 531,875 and 1,152,364

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Solution

The third proportional to 531,875 and 1,152,364 is: 2,496,719.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,875 : 1,152,364 = 1,152,364 : x
  2. Step 2: Convert to fraction form
    531,875/1,152,364 = 1,152,364/x
  3. Step 3: Cross multiply
    531,875x = 1,152,364 × 1,152,364
  4. Step 4: Simplify right side
    531,875x = 1,327,942,788,496
  5. Step 5: Solve for x
    x = 1,327,942,788,496/531,875
  6. Step 6: Final answer
    x = 2,496,719.70

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.