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Finding the Third Proportional to 538,938,428 and 1,169,351,293

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Solution

The third proportional to 538,938,428 and 1,169,351,293 is: 2,537,177,487.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,938,428 : 1,169,351,293 = 1,169,351,293 : x
  2. Step 2: Convert to fraction form
    538,938,428/1,169,351,293 = 1,169,351,293/x
  3. Step 3: Cross multiply
    538,938,428x = 1,169,351,293 × 1,169,351,293
  4. Step 4: Simplify right side
    538,938,428x = 1,367,382,446,440,771,840
  5. Step 5: Solve for x
    x = 1,367,382,446,440,771,840/538,938,428
  6. Step 6: Final answer
    x = 2,537,177,487.07

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Why These Related Problems?

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