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Finding the Third Proportional to 297,114,984 and 651,625,704

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Solution

The third proportional to 297,114,984 and 651,625,704 is: 1,429,130,407.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,114,984 : 651,625,704 = 651,625,704 : x
  2. Step 2: Convert to fraction form
    297,114,984/651,625,704 = 651,625,704/x
  3. Step 3: Cross multiply
    297,114,984x = 651,625,704 × 651,625,704
  4. Step 4: Simplify right side
    297,114,984x = 424,616,058,113,495,616
  5. Step 5: Solve for x
    x = 424,616,058,113,495,616/297,114,984
  6. Step 6: Final answer
    x = 1,429,130,407.35

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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.