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Finding the Third Proportional to 620,841,829 and 1,351,908,458

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Solution

The third proportional to 620,841,829 and 1,351,908,458 is: 2,943,835,923.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,841,829 : 1,351,908,458 = 1,351,908,458 : x
  2. Step 2: Convert to fraction form
    620,841,829/1,351,908,458 = 1,351,908,458/x
  3. Step 3: Cross multiply
    620,841,829x = 1,351,908,458 × 1,351,908,458
  4. Step 4: Simplify right side
    620,841,829x = 1,827,656,478,811,937,792
  5. Step 5: Solve for x
    x = 1,827,656,478,811,937,792/620,841,829
  6. Step 6: Final answer
    x = 2,943,835,923.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.