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Finding the Third Proportional to 655,457,232 and 1,404,406,428

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Solution

The third proportional to 655,457,232 and 1,404,406,428 is: 3,009,132,127.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,457,232 : 1,404,406,428 = 1,404,406,428 : x
  2. Step 2: Convert to fraction form
    655,457,232/1,404,406,428 = 1,404,406,428/x
  3. Step 3: Cross multiply
    655,457,232x = 1,404,406,428 × 1,404,406,428
  4. Step 4: Simplify right side
    655,457,232x = 1,972,357,415,007,719,168
  5. Step 5: Solve for x
    x = 1,972,357,415,007,719,168/655,457,232
  6. Step 6: Final answer
    x = 3,009,132,127.49

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.