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Finding the Third Proportional to 408,075,960 and 874,369,316

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Solution

The third proportional to 408,075,960 and 874,369,316 is: 1,873,478,900.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,075,960 : 874,369,316 = 874,369,316 : x
  2. Step 2: Convert to fraction form
    408,075,960/874,369,316 = 874,369,316/x
  3. Step 3: Cross multiply
    408,075,960x = 874,369,316 × 874,369,316
  4. Step 4: Simplify right side
    408,075,960x = 764,521,700,762,307,840
  5. Step 5: Solve for x
    x = 764,521,700,762,307,840/408,075,960
  6. Step 6: Final answer
    x = 1,873,478,900.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.