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Finding the Third Proportional to 291,229,502 and 623,347,784

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Solution

The third proportional to 291,229,502 and 623,347,784 is: 1,334,213,934.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,229,502 : 623,347,784 = 623,347,784 : x
  2. Step 2: Convert to fraction form
    291,229,502/623,347,784 = 623,347,784/x
  3. Step 3: Cross multiply
    291,229,502x = 623,347,784 × 623,347,784
  4. Step 4: Simplify right side
    291,229,502x = 388,562,459,817,710,656
  5. Step 5: Solve for x
    x = 388,562,459,817,710,656/291,229,502
  6. Step 6: Final answer
    x = 1,334,213,934.88

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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.