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Finding the Third Proportional to 509,348,414 and 1,091,371,324

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Solution

The third proportional to 509,348,414 and 1,091,371,324 is: 2,338,460,931.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,348,414 : 1,091,371,324 = 1,091,371,324 : x
  2. Step 2: Convert to fraction form
    509,348,414/1,091,371,324 = 1,091,371,324/x
  3. Step 3: Cross multiply
    509,348,414x = 1,091,371,324 × 1,091,371,324
  4. Step 4: Simplify right side
    509,348,414x = 1,191,091,366,849,512,960
  5. Step 5: Solve for x
    x = 1,191,091,366,849,512,960/509,348,414
  6. Step 6: Final answer
    x = 2,338,460,931.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.