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Finding the Third Proportional to 1,741,298,106 and 2,662,590,459

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Solution

The third proportional to 1,741,298,106 and 2,662,590,459 is: 4,071,323,530.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741,298,106 : 2,662,590,459 = 2,662,590,459 : x
  2. Step 2: Convert to fraction form
    1,741,298,106/2,662,590,459 = 2,662,590,459/x
  3. Step 3: Cross multiply
    1,741,298,106x = 2,662,590,459 × 2,662,590,459
  4. Step 4: Simplify right side
    1,741,298,106x = 7,089,387,952,357,830,656
  5. Step 5: Solve for x
    x = 7,089,387,952,357,830,656/1,741,298,106
  6. Step 6: Final answer
    x = 4,071,323,530.38

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.