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Finding the Third Proportional to 500,746,614 and 1,075,536,246

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Solution

The third proportional to 500,746,614 and 1,075,536,246 is: 2,310,106,916.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,746,614 : 1,075,536,246 = 1,075,536,246 : x
  2. Step 2: Convert to fraction form
    500,746,614/1,075,536,246 = 1,075,536,246/x
  3. Step 3: Cross multiply
    500,746,614x = 1,075,536,246 × 1,075,536,246
  4. Step 4: Simplify right side
    500,746,614x = 1,156,778,216,459,772,416
  5. Step 5: Solve for x
    x = 1,156,778,216,459,772,416/500,746,614
  6. Step 6: Final answer
    x = 2,310,106,916.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.