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Finding the Third Proportional to 464,906,312 and 1,020,500,576

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Solution

The third proportional to 464,906,312 and 1,020,500,576 is: 2,240,067,296.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,906,312 : 1,020,500,576 = 1,020,500,576 : x
  2. Step 2: Convert to fraction form
    464,906,312/1,020,500,576 = 1,020,500,576/x
  3. Step 3: Cross multiply
    464,906,312x = 1,020,500,576 × 1,020,500,576
  4. Step 4: Simplify right side
    464,906,312x = 1,041,421,425,616,331,776
  5. Step 5: Solve for x
    x = 1,041,421,425,616,331,776/464,906,312
  6. Step 6: Final answer
    x = 2,240,067,296.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.