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Finding the Third Proportional to 468,460,430 and 1,017,564,622

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Solution

The third proportional to 468,460,430 and 1,017,564,622 is: 2,210,299,298.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,460,430 : 1,017,564,622 = 1,017,564,622 : x
  2. Step 2: Convert to fraction form
    468,460,430/1,017,564,622 = 1,017,564,622/x
  3. Step 3: Cross multiply
    468,460,430x = 1,017,564,622 × 1,017,564,622
  4. Step 4: Simplify right side
    468,460,430x = 1,035,437,759,946,002,944
  5. Step 5: Solve for x
    x = 1,035,437,759,946,002,944/468,460,430
  6. Step 6: Final answer
    x = 2,210,299,298.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.