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Finding the Third Proportional to 652,688,284 and 1,012,119,550

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Solution

The third proportional to 652,688,284 and 1,012,119,550 is: 1,569,487,316.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,688,284 : 1,012,119,550 = 1,012,119,550 : x
  2. Step 2: Convert to fraction form
    652,688,284/1,012,119,550 = 1,012,119,550/x
  3. Step 3: Cross multiply
    652,688,284x = 1,012,119,550 × 1,012,119,550
  4. Step 4: Simplify right side
    652,688,284x = 1,024,385,983,492,202,496
  5. Step 5: Solve for x
    x = 1,024,385,983,492,202,496/652,688,284
  6. Step 6: Final answer
    x = 1,569,487,316.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.