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Finding the Third Proportional to 698,486,724 and 1,164,074,382

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Solution

The third proportional to 698,486,724 and 1,164,074,382 is: 1,940,007,047.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,486,724 : 1,164,074,382 = 1,164,074,382 : x
  2. Step 2: Convert to fraction form
    698,486,724/1,164,074,382 = 1,164,074,382/x
  3. Step 3: Cross multiply
    698,486,724x = 1,164,074,382 × 1,164,074,382
  4. Step 4: Simplify right side
    698,486,724x = 1,355,069,166,828,681,984
  5. Step 5: Solve for x
    x = 1,355,069,166,828,681,984/698,486,724
  6. Step 6: Final answer
    x = 1,940,007,047.05

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.