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Finding the Third Proportional to 310,975,101 and 719,926,419

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Solution

The third proportional to 310,975,101 and 719,926,419 is: 1,666,673,785.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,975,101 : 719,926,419 = 719,926,419 : x
  2. Step 2: Convert to fraction form
    310,975,101/719,926,419 = 719,926,419/x
  3. Step 3: Cross multiply
    310,975,101x = 719,926,419 × 719,926,419
  4. Step 4: Simplify right side
    310,975,101x = 518,294,048,774,163,584
  5. Step 5: Solve for x
    x = 518,294,048,774,163,584/310,975,101
  6. Step 6: Final answer
    x = 1,666,673,785.48

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.