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Finding the Third Proportional to 497,840,202 and 1,075,446,450

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Solution

The third proportional to 497,840,202 and 1,075,446,450 is: 2,323,205,442.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,840,202 : 1,075,446,450 = 1,075,446,450 : x
  2. Step 2: Convert to fraction form
    497,840,202/1,075,446,450 = 1,075,446,450/x
  3. Step 3: Cross multiply
    497,840,202x = 1,075,446,450 × 1,075,446,450
  4. Step 4: Simplify right side
    497,840,202x = 1,156,585,066,817,602,560
  5. Step 5: Solve for x
    x = 1,156,585,066,817,602,560/497,840,202
  6. Step 6: Final answer
    x = 2,323,205,442.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.