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Finding the Third Proportional to 1,048,191,324 and 1,644,160,554

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Solution

The third proportional to 1,048,191,324 and 1,644,160,554 is: 2,578,979,491.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048,191,324 : 1,644,160,554 = 1,644,160,554 : x
  2. Step 2: Convert to fraction form
    1,048,191,324/1,644,160,554 = 1,644,160,554/x
  3. Step 3: Cross multiply
    1,048,191,324x = 1,644,160,554 × 1,644,160,554
  4. Step 4: Simplify right side
    1,048,191,324x = 2,703,263,927,329,586,688
  5. Step 5: Solve for x
    x = 2,703,263,927,329,586,688/1,048,191,324
  6. Step 6: Final answer
    x = 2,578,979,491.09

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.