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Finding the Third Proportional to 1,038,948,225 and 1,610,083,694

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Solution

The third proportional to 1,038,948,225 and 1,610,083,694 is: 2,495,186,419.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038,948,225 : 1,610,083,694 = 1,610,083,694 : x
  2. Step 2: Convert to fraction form
    1,038,948,225/1,610,083,694 = 1,610,083,694/x
  3. Step 3: Cross multiply
    1,038,948,225x = 1,610,083,694 × 1,610,083,694
  4. Step 4: Simplify right side
    1,038,948,225x = 2,592,369,501,684,685,824
  5. Step 5: Solve for x
    x = 2,592,369,501,684,685,824/1,038,948,225
  6. Step 6: Final answer
    x = 2,495,186,419.60

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