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Finding the Third Proportional to 297,114,411 and 651,624,450

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Solution

The third proportional to 297,114,411 and 651,624,450 is: 1,429,127,663.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,114,411 : 651,624,450 = 651,624,450 : x
  2. Step 2: Convert to fraction form
    297,114,411/651,624,450 = 651,624,450/x
  3. Step 3: Cross multiply
    297,114,411x = 651,624,450 × 651,624,450
  4. Step 4: Simplify right side
    297,114,411x = 424,614,423,837,802,496
  5. Step 5: Solve for x
    x = 424,614,423,837,802,496/297,114,411
  6. Step 6: Final answer
    x = 1,429,127,663.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.