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Finding the Third Proportional to 692,810,394 and 1,507,583,352

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Solution

The third proportional to 692,810,394 and 1,507,583,352 is: 3,280,562,160.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,810,394 : 1,507,583,352 = 1,507,583,352 : x
  2. Step 2: Convert to fraction form
    692,810,394/1,507,583,352 = 1,507,583,352/x
  3. Step 3: Cross multiply
    692,810,394x = 1,507,583,352 × 1,507,583,352
  4. Step 4: Simplify right side
    692,810,394x = 2,272,807,563,227,555,840
  5. Step 5: Solve for x
    x = 2,272,807,563,227,555,840/692,810,394
  6. Step 6: Final answer
    x = 3,280,562,160.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.