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Finding the Third Proportional to 460,348,428 and 986,359,272

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Solution

The third proportional to 460,348,428 and 986,359,272 is: 2,113,409,222.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,348,428 : 986,359,272 = 986,359,272 : x
  2. Step 2: Convert to fraction form
    460,348,428/986,359,272 = 986,359,272/x
  3. Step 3: Cross multiply
    460,348,428x = 986,359,272 × 986,359,272
  4. Step 4: Simplify right side
    460,348,428x = 972,904,613,460,369,920
  5. Step 5: Solve for x
    x = 972,904,613,460,369,920/460,348,428
  6. Step 6: Final answer
    x = 2,113,409,222.85

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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.